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Takei Yoshitsugu  竹井 義次

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TAKEI Yoshitsugu  竹井 義次

竹井 義次  タケイ ヨシツグ

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Researcher Number 00212019
Other IDs
Affiliation (Current) 2025: 同志社大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help 2017 – 2024: 同志社大学, 理工学部, 教授
2007 – 2017: Kyoto University, Research Institute for Mathematical Sciences, Associate Professor
1995 – 2006: 京都大学, 数理解析研究所, 助教授
1995: Kyoto Univ., Research Institute for Mathematical Science Associate Professor, 数理解析研究科, 助教授
1993: 京都大学, 数理解析研究所, 助教授
1993: 京都大学, 理学部, 助手
1991: 京都大学, 理学部, 助手
Review Section/Research Field
Principal Investigator
Basic analysis / 解析学 / Basic Section 12010:Basic analysis-related / Basic analysis
Except Principal Investigator
Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic analysis / Global analysis
Keywords
Principal Investigator
完全WKB解析 / 接続公式 / WKB解析 / Painleve方程式 / 仮想的変わり点 / 代数解析 / ストークス幾何 / パンルベ方程式 / 漸近解析 / 関数方程式論 … More / インスタントン型形式解 / 変わり点 / Stokes曲線 / モノドロミ-保存変形 / ボロス係数 / 微分差分方程式系 / Painleve hierarchy / Exact WKB analysis / Lax pair / 高階Painleve方程式 / 完全最急降下法 / 非遺伝性変わり点 / パンルヴェ方程式 / ホロノミック系 / WKB解析 / 解析学 / 動かない特異点 / 単純極 / ガルニエ系 / インスタントン解 / Stokes係数 / Stokes現象 / 超幾何関数 / ボレル総和法 / リッカチ方程式 / ベッセル関数 / ファインマン・カッツの定理 / 確率微分方程式 / 時間依存シュレディンガー方程式 / 超幾何方程式 / 差分方程式 / 微分方程式 / 積分表示式 / 隣接関係式 / ヴォロス係数 / 超幾何函数 / Structure theorem / Birkhoff normal form / Instanton-type solution / Virtual turning point / Stokes geometry / Noumi-Yamada system / 第1Painleve方程式 / 変換論 / Stokes図形 / Lax Pair / 構造定理 / Birkhoff標準形 / Stokes幾何 / 野海・山田方程式系 / 高階パンルベ方程式 / Microdifferential equation / Transition probability / Exact steepest descent method / (New) Stokes curve / Turning point / エネルギーレベルの交差 / new Stokes curve / WKB型擬微分方程式 / 遷移確率 / (new) Stokes curve / オーストラリア:フランス / 国際情報交換 / 多重総和法 / 中間畳み込み / ストークス現象 / 離散パンルベ方程式 / 周期 / 楕円函数 / 可積分系 / Pearcey系 / Voros係数 / 多重総和可能性 / ボレル総和可能性 / 新しいストークス曲線 / ストークス曲面 / 完全積分可能系 / 完全WKB解析 / パンルヴェ階層 / 超幾何系 / ボレル変換 / WKB解 / 退化第3パンルベ方程式 / 初期値問題 / 偏微分方程式 / 退化ガルニエ系 / パンルベ階層 / 最急降下路 / 積分表示 / 3-level / Landau-Zener / 鞍点 / 完全最急降下路 / モノドロミー保存変形 … More
Except Principal Investigator
完全WKB解析 / 特異摂動 / 仮想的変わり点 / 高階パンルヴェ方程式 / Toulouse Project / exact WKB analysis / ストークス曲線 / 完全最急降下法 / 無限階微分作用素 / Stokes曲線 / ガルニエ系 / Voros係数 / 変わり点 / 超局所解析 / algebraic analysis / a virtual turning point / a higher order Painleve equation / Stokes図形 / 0-パラメタ解 / Lax対 / 野海・山田系 / Borel和 / Exact WKB analysis / 代数解析学 / ボレル和 / multiple-scale / Borel総和法 / singular perturbation / ボレル総和法 / パンルヴェ函数 / ストークス図形 / 動かない特異点 / 超幾何関数 / 接続公式 / 合流型超幾何微分方程式 / ストークス現象 / 超幾何微分方程式 / WKB解 / インスタントン解 / 超局所解析学 / 単純極作用素 / パンルベ方程式 / microlocal analysis / Watsonの補題 / Stokes現象 / 漸近展開 / a degenerate Garnier system / a turning point of the first kind / a 0-parameter solution / an instanton-type solution / P_J型高階パンルヴェ方程式 / インスタントン展開 / 新しいStokes曲線 / 両立条件 / ハミルトン系 / instanton型 / (パンルヴェ方程式の)第1種変わり点 / Toulouse計画 / ボレル平面 / 形式変換 / ∞-Weber方程式 / 退化ガルニエ系 / 1型変わり点 / singular perturbation theory / the exact steepest descent method / a microdifferential operator of WKB type / The Toulouse Project / 陪特性グラフ / Landau-Zener型 / 超局所微分作用素 / WKB型微分作用素 / 無限個の相 / 第2種の変わり点 / 第1種の変わり点 / 西川現象 / ストーク図形 / 高階バンルヴェ方程式 / WKB型擬微分作用素 / 高階パンルヴェ方式 / 特異摂動論 / WKB型超局所微分作用素 / トゥールーズ計画 / natural boundaries / infra-red divergence / virtual turning point / exact steepest descent method / exact steepest descent path / Stokes geometry / 積分表示 / 最急降下路 / 鞍点法 / n-level / 断熱近似 / Landau-Zener / 鞍点 / Borel変換 / 非断熱近似 / ストークス幾何 / 自然境界 / 赤外発散 / 完全最急降下路 / Stokes 幾何学 / Hamiltonian structures / Spaces of initial conditions / Backlund transformations / Affine Weyl group symmetries / Garnier systems / Higher order Painleve equations / Painleve equations / ゲーゲンバウアー多項式 / バーコフの標準形 / WKB法 / 完全WKB法 / フロベニウス多様体 / ドリンフェルト・ソコロフ階層 / 逆分岐問題 / シュヴァルツ写像 / ハミルトン構造 / 初期値空間 / ベックルント変換群 / アフィン・ワイル群対称性 / パンルヴェ方程式 / classical quantum correspondence / point process / eigenvalue distirbution / asymptotic theory / hydrodynamical limit / chaos / random matrix / 古典量子対応 / 点過程 / 固有値分布 / 漸近理論 / 流体力学的極限 / カオス / ランダム行列 / deformation (of differential equations) / Stokes curves / Schrodinger equations / Painleve transcendents / monodromy groups / Borel resummation / 複素フーリエ解析 / Multiple-scale / Painleve函数 / 微分方程式の変形 / 保型函数 / 変り点 / (微分方程式の)変形 / (微分方程式の) 変形 / Schrodinger方程式 / multiple scale / Painleve超越函数 / モノドロミー群 / numerical method / vortex sheet / matroid theory / Equations of motion of fluids / 数値解析法 / 渦層 / マトロイド理論 / 代数解析 / 流体方程式 / loop group / moduli space / q-difference operator / Painleve equation / matrix integral / quantum group / correlations / lattice model / ループ空間 / アフィン・ルート系 / dual pair / Jordan代数 / 楕円型量子群 / Bott周期性 / 不変式 / 無限次元代数 / KP階層 / 頂点作用素 / 可解格子模型 / 既約ユニタリ表現 / アーベル多様体 / ゲージ群 / Capelli恒等式 / qKZ方程式 / ループ群 / モジュライ空間 / q差分作用素 / 行列積分 / 量子群 / 相関関数 / 格子模型 / 解析学S-行列論 / acnode / ファインマン積分 / 再生函数論 / Landau-中西幾何学 / Whitneyの傘 / 陪特性帯 / 再生函数 / ボレル総和 / ランダウ・中西曲面 / Pearcey系 / 極大過剰決定系 / 超局所解析的S-行列論 / alien derivative / ボレル変換 / 超幾保関数 / 多重スケール解析 / インスタント解 / Parametric Stokes現象 / 幾何微分方程式 / 表象 / 漸近解析 / 解析的擬微分作用素 / 表象理論 / 核関数 / 擬微分作用素 / ヴォロス係数 / パンルヴェ階層 / MTP作用素 / 2重変わり点作用素 / ゴースト作用素 / alien calculus / MPPT作用素 / Mathieu方程式 / trussbridge diagram函数 / 解析的S-行列 / M2P1Tシュレーディンガー方程式 / 3 粒子閾値 / 解析的 S-行列 / 完全 WKB 解析 / fixed singularities / インスタントン型解 / 流体力学 / 実効的双曲型 / 基本解の構成 / 初期値問題 / 双曲型方程式 / 偏微分方程式 / turning points / sigular peturbation / Feynman integral / infrared problem / Sーmatrix / WKB analysis Less
  • Research Projects

    (28 results)
  • Research Products

    (299 results)
  • Co-Researchers

    (48 People)
  •  Exact WKB analysis for difference and differential-difference equationsPrincipal Investigator

    • Principal Investigator
      竹井 義次
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Doshisha University
  •  Global structure of solutions for differential equations of singular perturbation type and exact WKB analysisPrincipal Investigator

    • Principal Investigator
      TAKEI Yoshitsugu
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Doshisha University
  •  Structure of asymptotic solutions of integrable systems and WKB analysisPrincipal Investigator

    • Principal Investigator
      Takei Yoshitsugu
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Doshisha University
      Kyoto University
  •  Algebraic analysis of parametric Stokes phenomena

    • Principal Investigator
      AOKI TAKASHI
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kindai University
  •  The structure theory of differential equations by the algebraic analysis of singular perturbation theory

    • Principal Investigator
      KAWAI Takahiro
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Asymptotic analysis of instanton-type solutions

    • Principal Investigator
      AOKI Takashi
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kinki University
  •  Asymptotic analysis for hypergeometric systems and Garnier systemsPrincipal Investigator

    • Principal Investigator
      TAKEI Yoshitsugu
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Structure theory of higher order Painleve equations through exact WKB analysis

    • Principal Investigator
      KAWAI Takahiro
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Connection problems for Painleve hierarchies and WKB analysisPrincipal Investigator

    • Principal Investigator
      TAKEI Yoshitsugu
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Exact WKB analysis of higher order differential equations that is centered around the notion of a virtual turning point

    • Principal Investigator
      KAWAI Takahiro
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Exact WKB analysis for higher order Painleve equationsPrincipal Investigator

    • Principal Investigator
      TAKEI Yoshitsugu
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Structural analysis of differential equations by the exact WKB method

    • Principal Investigator
      KAWAI Takahiro
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Integrable Systems and WKB AnalysisPrincipal Investigator

    • Principal Investigator
      TAKEI Yoshitsugu
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  特異摂動の非線型微分方程式に対する代数解析Principal Investigator

    • Principal Investigator
      竹井 義次
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Exact WKB analysis and microlocal analysis

    • Principal Investigator
      KAWAI Takahiro
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  Global Analysis of Painleve Equations

    • Principal Investigator
      TAKANO Kyoichi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Global analysis
    • Research Institution
      Kobe University
  •  微分方程式の大域構造とWKB解析Principal Investigator

    • Principal Investigator
      竹井 義次
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  特異摂動とWKB解析Principal Investigator

    • Principal Investigator
      竹井 義次
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyoto University
  •  特異摂動とWKB解析Principal Investigator

    • Principal Investigator
      竹井 義次
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Mathematical analysis and numerical computation of nonlinear partial differential equations

    • Principal Investigator
      OKAMOTO Hisashi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  Theory of singular perturbations

    • Principal Investigator
      KAWAI Takahiro
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  Mathematical problems related to quantum chaos

    • Principal Investigator
      TAKAHASHI Yoichiro
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  非線形特異摂動現象の数学解析と数値計算

    • Principal Investigator
      OKAMOTO Hisashi
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  特異摂動の方程式に対するWKB解析Principal Investigator

    • Principal Investigator
      竹井 義次
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyoto University
  •  特異摂動の方程式に対するWKB解析Principal Investigator

    • Principal Investigator
      竹井 義次
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Structure and symmetries of integrable systems

    • Principal Investigator
      JIMBO Michio
    • Project Period (FY)
      1993 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  超局所解析学とS-行列理論

    • Principal Investigator
      KAWAI Takahiro
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      Kyoto University
  •  初期値問題の可解性と応用

    • Principal Investigator
      岩崎 敷久
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 Other

All Journal Article Presentation Book

  • [Book] Complex Differential and Difference Equations (De Gruyter Proceedings in Mathematics)2019

    • Author(s)
      Galina Filipuk, Alberto Lastra, Slawomir Michalik, Yoshitsugu Takei and Henryk Zoladek (eds.)
    • Publisher
      De Gruyter
    • ISBN
      9783110609523
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Book] Virtual Turning Points2015

    • Author(s)
      N. Honda, T. Kawai and Y. Takei
    • Total Pages
      133
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Book] Virtual Turning Points2015

    • Author(s)
      Naofumi Honda, Takahiro Kawai and Yoshitsugu Takei
    • Publisher
      Springer-Verlag
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Book] Algebraic Analysis of Differential Equations-from Microlocal Analysis to Exponential Asymptotics, Festschrift in Honor of Takahiro Kawai2008

    • Author(s)
      T. Aoki, H. Majima, Y. Takei and N. Tose (eds.)
    • Total Pages
      352
    • Publisher
      Springer-Verlag
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Book] 特異摂動の代数解析学(1998年発行の岩波講座版の単行本化)2008

    • Author(s)
      河合隆裕, 竹井義次
    • Total Pages
      132
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Book] 特異摂動の代数解析学2008

    • Author(s)
      河合隆裕・竹井義次
    • Total Pages
      146
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Book] 特異摂動の代数解析学2008

    • Author(s)
      河合隆裕, 竹井義次
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Book] Springer-Verlag2008

    • Author(s)
      T. Aoki, H. Majima, Y. Takei,and N
    • Total Pages
      352
    • Publisher
      Algebraic Analysis of Differential Equations - from Microlocal Analysis to Exponential Asymptotics, Festschrift in Honor of Takahiro Kawai
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Book] 特異摂動 の代数解析学2008

    • Author(s)
      河合隆裕・竹井義次
    • Total Pages
      146
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Book] Algebraic Analysis of Singular Perturbation Theory2005

    • Author(s)
      T.Kawai, Y.Takei
    • Total Pages
      129
    • Publisher
      American Mathematical Society
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Book] Algebraic Analysis of Singular Perturbation Theory Translations of Mathematical Monographs, Vol. 227(Translated from the 1998 Japanese original.)2005

    • Author(s)
      T. Kawai and Y. Takei
    • Total Pages
      129
    • Publisher
      Amer. Math. Soc.
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] On the Stokes Geometry of Perturbed Tangential Pearcey Systems2021

    • Author(s)
      Hirose Sampei、Kawai Takahiro、Sasaki Shinji、Takei Yoshitsugu
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences

      Volume: 57 Issue: 3 Pages: 727-754

    • DOI

      10.4171/prims/57-3-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Journal Article] Riccati Equations Revisited: Linearization and Analytic Interpretation of Instanton-Type Solutions2020

    • Author(s)
      Takei Yoshitsugu
    • Journal Title

      Complex Analysis and Operator Theory

      Volume: 14 Issue: 8

    • DOI

      10.1007/s11785-020-01033-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Journal Article] On the Stokes geometry of perturbed tangential Pearcey systems2019

    • Author(s)
      Sampei Hirose, Takahiro Kawai, Shinji Sasaki and Yoshitsugu Takei
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Journal Article] On the instanton-type expansions for Painleve transcendents and elliptic functions2019

    • Author(s)
      Takei Yoshitsugu
    • Journal Title

      Complex Differential and Difference Equations (De Gruyter Proceedings in Mathematics)

      Volume: - Pages: 365-378

    • DOI

      10.1515/9783110611427-014

    • ISBN
      9783110611427
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Journal Article] Extension of the exact steepest descent method to the middle convolution2019

    • Author(s)
      Yoshitsugu Takei
    • Journal Title

      数理解析研究所講究録

      Volume: 2101 Pages: 146-152

    • Data Source
      KAKENHI-PROJECT-26287015
  • [Journal Article] Toward the exact WKB analysis of discrete Painleve equations2017

    • Author(s)
      Nalini Joshi, Yoshitsugu Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B61 Pages: 83-96

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Journal Article] WKB analysis and Stokes geometry of differential equations2017

    • Author(s)
      Yoshitsugu Takei
    • Journal Title

      Analytic, Algebraic and Geometric Aspects of Differential Equations

      Volume: 1 Pages: 263-304

    • DOI

      10.1007/978-3-319-52842-7_5

    • ISBN
      9783319528410, 9783319528427
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Journal Article] On Stokes phenomena for the alternate discrete PI equation2017

    • Author(s)
      Nalini Joshi and Yoshitsugu Takei
    • Journal Title

      Analytic, Algebraic and Geometric Aspects of Differential Equations

      Volume: 1 Pages: 369-381

    • DOI

      10.1007/978-3-319-52842-7_10

    • ISBN
      9783319528410, 9783319528427
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Journal Article] Stokes geometry of higher order ordinary differential equations and middle convolutions2017

    • Author(s)
      T. Motegi and Y. Takei
    • Journal Title

      Advances in Mathematics

      Volume: 310 Pages: 327-376

    • DOI

      10.1016/j.aim.2017.02.006

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24340026, KAKENHI-PROJECT-26287015
  • [Journal Article] On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations2015

    • Author(s)
      Yoshitsugu Takei
    • Journal Title

      Opuscula Mathematica

      Volume: 35 Issue: 5 Pages: 775-802

    • DOI

      10.7494/opmath.2015.35.5.775

    • NAID

      120005663283

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26287015, KAKENHI-PROJECT-24340026
  • [Journal Article] On the fourth order PI equation and coalescing phenomena of nonlinear turning points2014

    • Author(s)
      Y. Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B52 Pages: 301-316

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Journal Article] Le prolongement analytique de la solution du probleme de Cauchy pour un certain operateur differentiel a coefficients polynomiaux. II2014

    • Author(s)
      Yusaku Hamada, Takashi Okaji and Yoshitsugu Takei
    • Journal Title

      Journal of Fixed Point Theory and Applications

      Volume: (online version) Issue: 1 Pages: 1-36

    • DOI

      10.1007/s11784-014-0152-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-22540185, KAKENHI-PROJECT-24340026
  • [Journal Article] Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. I& II2014

    • Author(s)
      S. Kamimoto, T. Kawai and Y. Takei
    • Journal Title

      Advances in Mathematics

      Volume: 260巻 Pages: 565-613

    • DOI

      10.1016/j.aim.2014.02.028

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-24340026
  • [Journal Article] Exact WKB analysis of a Schrodinger equation with a merging triplet of two simple poles and one simple turning point. I2014

    • Author(s)
      Shingo Kamimoto, Takahiro Kawai and Yoshitsugu Takei
    • Journal Title

      Advances in Mathematics

      Volume: (online version) Pages: 458-564

    • DOI

      10.1016/j.aim.2014.02.026

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-24340026
  • [Journal Article] On the fourth order PI equation and coalescing phenomena of nonlinear turning points2014

    • Author(s)
      Yoshitsugu Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B52 Pages: 301-316

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Journal Article] Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations2013

    • Author(s)
      Tatsuya Koike and Yoshitsugu Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B40 Pages: 293-312

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations2013

    • Author(s)
      T. Koike and Y. Takei
    • Journal Title

      RIMS Kôkyûroku Bessatsu

      Volume: B40巻 Pages: 293-312

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the role of the degenerate third Painlevéequation of type (D8) in the exact WKB analysis2013

    • Author(s)
      Y. Takei
    • Journal Title

      RIMS Kôkyûroku Bessatsu

      Volume: B37巻 Pages: 211-222

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] Le prolongement analytique de la solution du problème de Cauchy pour un certain opérateur différentiel a coefficients polynomiaux. II& III2013

    • Author(s)
      Y. Hamada, T. Okaji and Y. Takei
    • Journal Title

      Journal of Fixed Point Theory and Applications

      Volume: 14巻 Issue: 1 Pages: 1-15

    • DOI

      10.1007/s11784-014-0153-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-22540185, KAKENHI-PROJECT-24340026
  • [Journal Article] On the role of the degenerate third Painleve equation of type (D8) in the exact WKB analysis2013

    • Author(s)
      Yoshitsugu Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B37 Pages: 211-222

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations2013

    • Author(s)
      Tatsuya Koike and Yoshitsugu Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B40 Pages: 293-312

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Journal Article] Problème de Cauchy et Goursat analytique, Publications of RIMS2012

    • Author(s)
      Y. Hamada, T. Okaji and Y. Takei
    • Journal Title

      Kyoto University

      Volume: 48巻 Issue: 1 Pages: 139-181

    • DOI

      10.2977/prims/65

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-22540185
  • [Journal Article] Microlocal analysis of fixed singularities of WKB solutions of a Schrodinger equation with a merging triplet of two simple poles and a simple turning point2012

    • Author(s)
      S.Kamimoto, T.Kawai, Y.Takei
    • Journal Title

      The Mathematical Legacy of Leon Ehrenpreis

      Volume: (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] Microlocal analysis of fixed singularities of WKB solutions of a Schrodinger equation with a merging triplet of two simple poles and a simple turning point,The Mathematical Legacy of Leon Ehrenpreis2012

    • Author(s)
      S. Kamimoto, T. Kawai, T. Koike and Y. Takei
    • Journal Title

      Springer

      Pages: 125-150

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] Borel summability of the heat equation with variable coefficients2012

    • Author(s)
      O. Costin, H. Park and Y. Takei
    • Journal Title

      Journal of Differential Equations

      Volume: 252巻 Issue: 4 Pages: 3076-3092

    • DOI

      10.1016/j.jde.2011.11.026

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations.2012

    • Author(s)
      T. Koike and Y. Takei
    • Journal Title

      RIMS-Preprint

      Volume: 1760 Pages: 1-20

    • Data Source
      KAKENHI-PROJECT-24340026
  • [Journal Article] On the Voros coefficients for the Whittaker equation with a large parameter2011

    • Author(s)
      T.Koike, Y.Takei
    • Journal Title

      Publ.RIMS 47(in press.)

    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On the turning point problem for instanton-type solutions of Painleve equations2011

    • Author(s)
      Y. Takei
    • Journal Title

      ibid.

      Volume: II Pages: 255-274

    • DOI

      10.1007/978-88-7642-377-2_5

    • ISBN
      9788876423765, 9788876423772
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On the exact WKB analysis of higher order simple-pole type operators2011

    • Author(s)
      T.Kawai
    • Journal Title

      Adv.in Math.

      Volume: 228 Issue: 1 Pages: 63-96

    • DOI

      10.1016/j.aim.2011.05.010

    • NAID

      120003272689

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028, KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-21740098
  • [Journal Article] On the turning point problem for instanton-type solutions of Painleve equations2011

    • Author(s)
      Y.Takei
    • Journal Title

      Asymptotics in Dynamics, Geometry and PDEs

      Volume: II Pages: 255-274

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On the turning point problem for instanton-type solutions of Painlevé equations, Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation2011

    • Author(s)
      Y. Takei
    • Journal Title

      Edizioni della Normale, Pisa

      Volume: Vol.II Pages: 255-274

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On a Schrodinger equation with a merging pair of a simple pole and a simple turning point2011

    • Author(s)
      S.Kamimoto, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation

      Volume: 2 Pages: 245-254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter. II.2011

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Publ.RIMS 47

      Pages: 153-219

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On the Voros coefficient for the Whittaker equation with a large parameter-Some progress around Sato's conjecture in exact WKB analysis2011

    • Author(s)
      T.Koike
    • Journal Title

      Publ.RIMS, Kyoto Univ.

      Volume: 47 Issue: 1 Pages: 375-395

    • DOI

      10.2977/prims/39

    • NAID

      110008425912

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028, KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-21740098
  • [Journal Article] Exact WKB analysis of a Schrodinger equation with a merging triplet of two simple poles and one simple turning point2011

    • Author(s)
      S. Kamimoto, T. Kawai, and Y. Takei
    • Journal Title

      RIMS Preprint

      Pages: 1-216

    • URL

      http://www.kurims.kyoto-u.ac.jp/preprint/file/RIMS1735.pdf

    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter. II2011

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences

      Volume: 47 Pages: 153-219

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter. II. Structure theorem for instanton-type solutions of (P_J)_m(J =I, 34, II-2 or IV) near a simple P -turning point of the first kind2011

    • Author(s)
      T. Kawai, and Y. Takei
    • Journal Title

      Publ, RIMS, Kyoto Univ.

      Volume: 47 Issue: 1 Pages: 153-219

    • DOI

      10.2977/prims/34

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028, KAKENHI-PROJECT-21340029
  • [Journal Article] On the Voros coefficient for the Whittaker equation with a large parameter2011

    • Author(s)
      T.Koike, Y.Takei
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences

      Volume: 47 Pages: 375-395

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the exact WKB analysis of higher order simple-pole type operators2011

    • Author(s)
      T. Kawai, T. Koike and Y. Takei
    • Journal Title

      Adv. in Math.

      Volume: 228 Pages: 63-96

    • NAID

      120003272689

    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On the turning point problem for instanton-type solutions of Painleve equations2011

    • Author(s)
      Y.Takei
    • Journal Title

      Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation

      Volume: 2 Pages: 255-274

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the Voros coefficient for the Whittaker equation with a large parameter-Some progress around Sato's conjecture in exact WKB analysis2011

    • Author(s)
      T. Koike and Y. Takei
    • Journal Title

      Publ. RIMS, Kyoto Univ.

      Volume: 47 Issue: 1 Pages: 375-395

    • DOI

      10.2977/prims/3

    • NAID

      110008425912

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On a Schrodinger equation with a merging pair of a simple pole and a simple turning point - Alien calculus of WKB solutions through microlocal analysis, Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation2011

    • Author(s)
      S. Kamimoto, T. Kawai, T. Koike and Y. Takei
    • Journal Title

      Scuola Normale Superiore Pisa

      Volume: II Pages: 245-254

    • DOI

      10.1007/978-88-7642-377-2_4

    • ISBN
      9788876423765, 9788876423772
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On the WKB theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point2010

    • Author(s)
      S. Kamimoto, T. Kawai, T. Koike and Y. Takei
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 50巻 Pages: 101-164

    • URL

      http://projecteuclid.org/euclid.kjm/1271187741

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the WKB theoretic structure of a Schrodinger operator with a merging pair of a simple pole and a simple turning point2010

    • Author(s)
      S.Kamimoto, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Kyoto Journal of Mathematics Vol. 1(掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the Voros coefficient for the Whittaker equation with a large parameter2010

    • Author(s)
      T.Koike, Y.Takei
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the WKB theoretic structure of a Schrodinger operator with a merging pair of a simple pole and a simple turning point2010

    • Author(s)
      S. Kamimoto, T. Kawai, T. Koike and Y. Takei
    • Journal Title

      Kyoto J. of Math.

      Volume: 50 Issue: 1 Pages: 101-164

    • DOI

      10.1215/0023608x-2009-007

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On the WKB theoretic structure of a Schrodinger operator with a merging pair of a simple pole and a simple turning point2010

    • Author(s)
      S.Kamimoto, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 50 Pages: 101-164

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the role of the degenerate third Painleve equation of type (D8) in the exact WKB analysis2010

    • Author(s)
      Y.Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the structure of higher order simple-pole type operators in exact WKB analysis2010

    • Author(s)
      T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 53 Pages: 249-276

    • NAID

      130000419144

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter, II2010

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the Structure of Higher Order Simple-Pole Type Operators in Exact WKB Analysis2010

    • Author(s)
      T. Kawai, T. Koike and Y. Takei
    • Journal Title

      FE

      Volume: 53 Issue: 2 Pages: 249-276

    • DOI

      10.1619/fesi.53.249

    • NAID

      130000419144

    • ISSN
      0532-8721
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On the structure of higher order simple-pole type operators in exact WKB analysis2010

    • Author(s)
      T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Funkcialaj Ekvacioj (掲載確定)

    • NAID

      130000419144

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] On the WKB theoretic structure of a Schrodinger operator with a merging pair of a simple pole and a simple turning point2010

    • Author(s)
      S.Kamimoto, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Kyoto J.Math. 50

      Pages: 101-164

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] On the structure of higher order simple-pole type operators in exact WKB analysis2010

    • Author(s)
      T. Kawai, T. Koike and Y. Takei
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 53巻 Pages: 249-276

    • NAID

      130000419144

    • URL

      https://www.jstage.jst.go.jp/article/fesi/53/2/53_2_249/_article

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] The Bender-Wu analysis and the Voros theory, II2009

    • Author(s)
      T. Aoki, T. Kawai, Y. Takei
    • Journal Title

      Advanced Studies in Pure Mathematics 54

      Pages: 19-94

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] On the structure of higher order simple-pole type operators in exact WKB analysis2009

    • Author(s)
      Takahiro Kawai, Tatsuya Koike, Yoshitsugu Takei
    • Journal Title

      RIMS Preprint 1658

      Pages: 1-38

    • NAID

      130000419144

    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] The Bender-Wu analysis and the Voros theory. II.2009

    • Author(s)
      T. Aoki, T. Kawai, and Y. Takei
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 54 Pages: 19-94

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] The Bender-Wu analysis and the Voros theory. II.2009

    • Author(s)
      T.Aoki, T.Kawai, Y.Takei
    • Journal Title

      Advanced Studies in Pure Mathematics, Math.Soc.Japan 54

      Pages: 19-94

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] The Bender-Wu analysis and the Voros theory, II2009

    • Author(s)
      T.Aoki, T.Kawai, Y.Takei
    • Journal Title

      Advanced Studies in Pure Mathematics Vol. 54

      Pages: 19-94

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] The Bender-Wu analysis and the Voros theory. II2009

    • Author(s)
      T. Aoki, T. Kawai,and Y. Takei
    • Journal Title

      Advanced Studies in Pure Mathematics 54巻

      Pages: 19-94

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] The Bender-Wu analysis and the Voros theory. II2009

    • Author(s)
      Takashi Aoki, Takahiro Kawai, Yoshitsugu Takei
    • Journal Title

      Advanced Studies in Pure Mathematics 54

      Pages: 19-94

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] Sato's conjecture for the Weber equation and transformation theory for Schrodinger equations with a merging pair of turning points2008

    • Author(s)
      Y. Takei
    • Journal Title

      RIMS Kokyoroku Bessatsu B10

      Pages: 205-224

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Instanton-type formal solutions for the first Painleve hierarchy2008

    • Author(s)
      Y. Takei
    • Journal Title

      Algebraic Analysis of Differential Equations

      Pages: 307-319

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Half of the Toulouse Project Part 5 is completed-Structure theorem for instanton-type solutions of(P_J)_m(J=I,IIorIV)near a simple P-turning point of the first kind2008

    • Author(s)
      T. Kawai and Y. Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B5

      Pages: 99-115

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Instanton-type formal solutions for the first Painleve hierarchy2008

    • Author(s)
      Y., Takei
    • Journal Title

      Algebraic Analysis of Differential Equations, Springer-Verlag

      Pages: 307-319

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Sato's conjecture for the Weber equation and transformation theory for Schrodinger equations with a merging pair of turning points2008

    • Author(s)
      Y. Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B10巻

      Pages: 205-224

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Half of the Toulouse Project Part 5 is completed-Structure theorem for instanton-type solutions of (P_J)m (J= I, II or IV) near a simple Pturning point of the first kind2008

    • Author(s)
      T., Kawai, Y., Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu 5

      Pages: 99-115

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Instanton-type formal solutions for the first Painleve hierarchy2008

    • Author(s)
      Y. Takei
    • Journal Title

      Algebraic Analysis of Differential Equations(会議録)

      Pages: 307-319

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Sato's conjecture for the Weber equation and transformation theory for Schrodinger equations with a merging pair of turning points2008

    • Author(s)
      Y.Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu, B 10

      Pages: 205-224

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] Half of the Toulouse Project Part 5 is completed-Structure theorem for instanton-type solutions of (P_J)_m(J=I,II or IV) near a simple P-turning point of the first kind2008

    • Author(s)
      T. Kawai and Y. Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B5

      Pages: 99-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Virtual turning points-A gift of microlocal analysis to the exact WKB analysis2008

    • Author(s)
      T. Aoki, N. Honda, T. Kawai, T. Koike, Y. Nishikawa, S. Sasaki, A. Shudo and Y. Takei
    • Journal Title

      Algebraic Analysis of Differential Equations(会議録)

      Pages: 29-43

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Sato's conjecture for the Weber equation and transformation theory for Schrodinger equations with a merging pair of turning points2008

    • Author(s)
      Yoshitsugu Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B10

      Pages: 205-224

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Journal Article] Half of the Toulouse Project Part 5 is completed - Structure theorem for instanton-type solutions of (PJ)_m (J=I, II or IV) near a simple P-turning point of the first kind2008

    • Author(s)
      T. Kawai,and Y. Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B5巻

      Pages: 99-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Instanton-type formal solutions for the first Painleve hierarchy2008

    • Author(s)
      Y. Takei
    • Journal Title

      Algebraic Analysis of Differential Equations

      Pages: 307-319

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Half of the Toulouse Project Part 5 is completed-Structure theorem for instanton-type solutions of(PJ)_m(J=I, II or IV) near a simple P-turning point of the first kind2008

    • Author(s)
      T. Kawai and Y. Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B5

      Pages: 99-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Instanton-type formal solutions for the first Painleve hierarchy2008

    • Author(s)
      Y. Takei,
    • Journal Title

      Algebraic Analysis of Differential Equations, Springer-Verlag

      Pages: 307-319

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Virtual turning points - A gift of microlocal analysis to the exact WKB analysis2008

    • Author(s)
      T. Aoki, N. Honda, T. Kawai, T. Koike, Y. Nishikawa, S. Sasaki, A. Shudo,and Y. Takei
    • Journal Title

      Algebraic Analysis of Differential Equations

      Pages: 29-43

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Exact WEB analysis for the degenerate third Painleve equation of type (D_8)2007

    • Author(s)
      Y., Takei, H., Wakako
    • Journal Title

      Proc. Japan Acad., Ser. A 83

      Pages: 63-68

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Toward the exact WKB analysis for instanton-type solutions of Painleve hierarchies2007

    • Author(s)
      Y. Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B2

      Pages: 247-260

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Exact WKB analysis for the degenerate third Painleve equation of type (D_8)2007

    • Author(s)
      Y. Takei and H. Wakako
    • Journal Title

      Proc. Japan Acad., Ser. A 83

      Pages: 63-68

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Exact WKB analysis for the degenerate third Painleve equation of type(D_8)2007

    • Author(s)
      Y. Takei and H. Wakako
    • Journal Title

      Proceedings of the Japan Academy, Series A 83

      Pages: 63-68

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Mathematical view of a blind source separation on a time frequency space2007

    • Author(s)
      K. Fujita, Y. Takei, A. Morimoto and R. Ashino
    • Journal Title

      Applied Mathematics and Computation 187

      Pages: 153-162

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Toward the exact WKB analysis for instanton-type solutions of Painleve hierarchies2007

    • Author(s)
      Y. Takei
    • Journal Title

      RIMS Kokyuroku B2

      Pages: 247-260

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Toward the exact WKB analysis for instanton-type solutions of Painleve hierarchies2007

    • Author(s)
      Y. Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B2巻

      Pages: 247-260

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Exact WKB analysis, and exact steepest descent method -A sequel to "algebraic analysis for singular perturbations"-2007

    • Author(s)
      Y. Takei
    • Journal Title

      Sugaku Expositions 20

      Pages: 169-189

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Exact WKB analysis, and exact steepest descent method - A sequel to "algebraic analysis for singular perturbations" -2007

    • Author(s)
      Y. Takei
    • Journal Title

      Sugaku Expositions 20巻

      Pages: 169-189

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Exact WKB analysis for the degenerate third Painleve equation of type(D_8)2007

    • Author(s)
      Y. Takei and H. Wakako
    • Journal Title

      Proc. Japan Acad., Ser. A 83

      Pages: 63-68

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Toward the exact WKB analysis for instanton-type solutions of Painleve hierarchies2007

    • Author(s)
      Y.Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B2

      Pages: 247-260

    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Exact WKB analysis for the degenerate third Painleve equation of type (D8)2007

    • Author(s)
      Y. Takei,and H. Wakako
    • Journal Title

      Proceedings of the Japan Academy, Series A 83巻

      Pages: 63-68

    • NAID

      40015421667

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Mathematical background for a method on quotient signal decomposition2007

    • Author(s)
      R. Ashino, C.A. Berenstein, K. Fujita, A. Morimoto, M. Morimoto, D. Napoletani and Y. Takei
    • Journal Title

      Applicable Analysis 86

      Pages: 577-609

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Toward the exact WKB analysis for instanton-type solutions of Painleve hierarchies2007

    • Author(s)
      Y., Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu 2

      Pages: 247-260

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Toward the exact WKB analysis for instanton-type solutions of Painleve hierarchies2007

    • Author(s)
      Y.Takei
    • Journal Title

      RIMS Kokyuroku Bessatsu B2巻

      Pages: 247-260

    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter2006

    • Author(s)
      T. Kawai,and Y. Takei
    • Journal Title

      Advances in Mathematics 203巻

      Pages: 636-672

    • NAID

      40006480342

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Virtual turning point and isomonodromic deformations-On the observation of S. Sasaki for the creation of new Stokes curves of Noumi-Yamada systems2006

    • Author(s)
      T., Aoki, T., Kawai, T., Koike, S., Sasaki, Y., Takei
    • Journal Title

      RIMS Kokyuroku 1493

      Pages: 191-211

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter-Local reduction of O-parameter solutions for Painleve hierarchies(P_J)(J=I,II-1orII-2)2006

    • Author(s)
      T. Kawai and Y. Takei
    • Journal Title

      Adv. Math. 203

      Pages: 636-672

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] On a local reduction of a higher order Painleve equation and its underlying Lax pair near a simple turning point of the first kind,2006

    • Author(s)
      Y. Takei
    • Journal Title

      Soc. Math. France 14

      Pages: 281-297

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] On a local reduction of a higher order Painleve equation and its underlying Lax pair near a simple turning point of the first kind2006

    • Author(s)
      Y., Takei
    • Journal Title

      Saminaires et Congres(Sic. Math. France) Vol.14

      Pages: 281-297

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] On a local reduction of a higher order Painleve equation and its underlying Lax pair near a simple turning point of the first kind2006

    • Author(s)
      Y. Takei
    • Journal Title

      Seminaires et Congres 14巻

      Pages: 251-267

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] Virtual turning points and isomonodromic deformations-On the observation of S. Sasaki for the creation of new Stokes curves of Noumi-Yamada systems-2006

    • Author(s)
      T. Aoki, T. Kawai, T. Koike, S. Sasaki and Y. Takei
    • Journal Title

      RIMS Kokyuroku 1493

      Pages: 191-211

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter2006

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Advances in Mathematics 203巻

      Pages: 636-672

    • NAID

      40006480342

    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] On a local reduction of a higher order Painleve equation and its underlying Lax pair near a simple turning point of the first kind2006

    • Author(s)
      Y.Takei
    • Journal Title

      Seminaires et Congres 14巻

      Pages: 251-267

    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter-Local reduction of O-parameter solutions for Painleve hierarchies (F_J) (I= I, II-1 or 11-2)2006

    • Author(s)
      T., Kawai, Y., Takei
    • Journal Title

      Adv. Math 203

      Pages: 636-672

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005

    • Author(s)
      T., Aoki, T., Kawai, T., Koike, Y., Takei
    • Journal Title

      Contemporary Math 373

      Pages: 11-47

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] On the Stokes geometry of higher-order Painleve equations2005

    • Author(s)
      T.Kawai, T.Koike, Y.Nishikawa, Y.Takei
    • Journal Title

      Asterisque No.297

      Pages: 117-166

    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations2005

    • Author(s)
      T.Aoki, T.Kawai, S.Sasaki, A.Shudo, Y.Takei
    • Journal Title

      Journal of Physics A : Mathematical and General 38巻

      Pages: 3317-3336

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005

    • Author(s)
      T.Aoki, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Contemporary Mathematics Vol.373

      Pages: 11-47

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] A fresh glimpse into the Stokes geometry of the Berk-Nevins-Roberts equation through a singular coordinate transformation2005

    • Author(s)
      T. Aoki, T. Kawai, T. Koike and Y. Takei
    • Journal Title

      RIMS Kokyuroku 1431

      Pages: 1-13

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Algebraic Analysis of Singular Perturbation Theory2005

    • Author(s)
      T., Kawai, Y., Takei
    • Journal Title

      Translations of Mathematical Monographs(Amer. Math. Soc) Vol.227

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations2005

    • Author(s)
      T.Aoki, T.Kawai, S.Sasaki, A.Shudo, Y.Takei
    • Journal Title

      Journal of Physics A : Mathematical and General 38

      Pages: 3317-3336

    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations2005

    • Author(s)
      T.Aoki, T.Kawai, S.Sasaki, A.Shudo, Y.Takei
    • Journal Title

      Journal of Physics A : Mathematical and General Vol.38

      Pages: 3317-3336

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] Algebraic Analysis of Singular Perturbation Theory2005

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      American Mathematical Society

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] A fresh glimpse into the Stokes geometry of the Berk-Nevins-Roberts equation through a singular coordinate transformation2005

    • Author(s)
      T., Aoki, T., Kawai, T., Koike, Y., Takei
    • Journal Title

      RIMS Kokyuroku 1431

      Pages: 1-13

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005

    • Author(s)
      T.Aoki, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Contemporary Mathematics 373巻

      Pages: 11-47

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005

    • Author(s)
      T. Aoki, T. Kawai and T. Koike and Y. Takei
    • Journal Title

      Contemporary Math. 373

      Pages: 11-47

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Journal Article] On a local reduction of a higher order Painleve equation and its under-lying Lax pair near a simple turning point of the first kind2005

    • Author(s)
      Y.Takei
    • Journal Title

      Seminaires et Congres (掲載予定)

    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter - Local reduction of 0-parameter solutions for Painleve hierarchies (P_J)(J=I,II-1 or II-2).2004

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      RIMS preprint 1468

      Pages: 1-36

    • Data Source
      KAKENHI-PROJECT-14340042
  • [Journal Article] On the Stokes geometry of higher-order Painleve equations2004

    • Author(s)
      T.Kawai, T.Koike, Y.Nishikawa, Y.Takei
    • Journal Title

      Asterisque Vol.297

      Pages: 117-166

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] The exact steepest descent method -a new steepest descent method based on the exact WKB analysis2004

    • Author(s)
      T.Aoki, T.Kawai, Y.Takei
    • Journal Title

      Advanced Studies in Pure Mathematics Vol.42

      Pages: 45-61

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On the exact WKB analysis of operators admitting infinitely many phases2004

    • Author(s)
      T.Aoki, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Advances in Mathematics, Vol.181

      Pages: 165-189

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On WKB analysis of higher order Painleve equations with a large parameter2004

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Proceedings of the Japan Academy, Series A 80

      Pages: 53-56

    • NAID

      40006480342

    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On WKB analysis of higher order Painleve equations with a large parameter.2004

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Proc.Japan Acad., Ser.A. 80

      Pages: 53-56

    • NAID

      40006480342

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340042
  • [Journal Article] The exact steepest descent method - a new steepest descent method based on the exact WKB analysis2004

    • Author(s)
      T.Aoki, T.Kawai, Y.Takei
    • Journal Title

      Advanced Studies in Pure Mathematics 42巻

      Pages: 45-61

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On WKB analysis of higher order Painleve equations with a large parameter2004

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Proceedings of the Japan Academy, Series A 80巻

      Pages: 53-56

    • NAID

      40006480342

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On the complete description of the Stokes geometry for the first Painleve hierarchy2004

    • Author(s)
      T.Kawai, T.Koike, Y.Nishikawa, Y.Takei
    • Journal Title

      RIMS Koukyuuroku Vol.1397

      Pages: 74-101

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On the complete description of the Stokes geometry for the first Painleve hierarchy2004

    • Author(s)
      T.Kawai, T.Koike, Y.Nishikawa, Y.Takei
    • Journal Title

      数理解析研究所講究録 1397巻

      Pages: 74-101

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] Toward the exact WKB analysis for higher-order Painleve equations - The case of Noumi-Yamada systems2004

    • Author(s)
      Y.Takei
    • Journal Title

      Publications of RIMS, Kyoto University 40

      Pages: 709-730

    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On the exact WKB analysis of microdifferential operators of WKB type2004

    • Author(s)
      T.Aoki, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Annales de l'Institut Fourier, Universite de Grenoble Vol.54

      Pages: 1393-1421

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] Toward the exact WKB analysis for higher-order Painleve equations - The case of Noumi-Yamada systems2004

    • Author(s)
      Y.Takei
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences, Kyoto University 40巻

      Pages: 709-730

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On the exact WKB analysis of microdifferential operators of WKB type2004

    • Author(s)
      T.Aoki, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Annales de l' Institut Fourier, Universite de Grenoble 54巻

      Pages: 1393-1421

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On the complete description of the Stokes geometry for the first Painleve hierarchy2004

    • Author(s)
      T.Kawai, T.Koike, Y.Nishikawa, Y.Takei
    • Journal Title

      数理解析研究所講究録 1397

      Pages: 74-101

    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On WKB analysis of higher order Painleve equations with a large parameter.2004

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Proc.Japan Acad.Ser.A 80

      Pages: 53-56

    • NAID

      40006480342

    • Data Source
      KAKENHI-PROJECT-14340042
  • [Journal Article] Toward the exact WKB analysis for higher-order Painleve equations -The case of Noumi-Yamada systems2004

    • Author(s)
      Y.Takei
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences, Kyoto University Vol.40

      Pages: 709-730

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] Announcement of the Toulouse Project, Part22004

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      RIMS Kokyuroku 1397

      Pages: 172-174

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340042
  • [Journal Article] On the exact WKB analysis of operators admitting infinitely many phases2004

    • Author(s)
      T.Aoki, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Advances in Mathematics 181巻

      Pages: 165-189

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On WKB analysis of higher order Painleve equations with a large parameter2004

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Proceedings of the Japan Academy, Series A Vol.80

      Pages: 53-56

    • NAID

      40006480342

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On the Stokes geometry of higher-order Painleve equations2004

    • Author(s)
      T.Kawai, T.Koike, Y.Nishikawa, Y.Takei
    • Journal Title

      Asterisque 297巻

      Pages: 117-166

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] 完全WKB解析,そして完全最急降下法-特異摂動の代数解析学続論2003

    • Author(s)
      Y.Takei
    • Journal Title

      数学 55

      Pages: 350-367

    • NAID

      10013701687

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340042
  • [Journal Article] Exact WKB analysis and the exact steepest descent method-A sequel to "Algebraic analysis of singular parturbations" (in Japanese)2003

    • Author(s)
      Y.Takei
    • Journal Title

      Sugaku 55

      Pages: 350-367

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340042
  • [Journal Article] The effect of new Stokes curves in the exact steepest descent method.2002

    • Author(s)
      T.Koike, Y.Takei
    • Journal Title

      Microlocal Analysis and Complex Fourier Analysis, World Scientific

      Pages: 186-199

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340042
  • [Journal Article] On a local reduction of a higher order Painleve equation and its underlying Lax pair near a simple turning point of the 1st kind

    • Author(s)
      Y.Takei
    • Journal Title

      Seminaires et Congres (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On a local reduction of a higher order Painleve equation and its underlying Lax pair near a simple turning point of the first kind

    • Author(s)
      Y.Takei
    • Journal Title

      Seminaires et Congres (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On a local reduction of a higher order Painleve equation and its underlying Lax pair near a simple turning point of the first kind

    • Author(s)
      Y.Takei
    • Journal Title

      Seminaires et Congres (印刷中)

    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Advances in Mathematics (印刷中)

    • NAID

      40006480342

    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Advances in Mathematics (印刷中)

    • NAID

      40006480342

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] On the turning point problem for instanton-type solutions of Painleve equations

    • Author(s)
      Y.Takei
    • Journal Title

      Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation (Proceedings of the conference held in CRM Pisa in October 2009)

      Volume: (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Journal Article] WKB analysis of higher order Painleve equations with a large parameter

    • Author(s)
      T.Kawai, Y.Takei
    • Journal Title

      Advances in Mathematics (in press)

    • NAID

      40006480342

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540148
  • [Journal Article] Instanton-type formal solutions for the first Painleve hierarchy

    • Author(s)
      Y.Takei
    • Journal Title

      Algebraic Analysis of Differential Equations(会議録) (掲載確定)

    • Data Source
      KAKENHI-PROJECT-18540174
  • [Journal Article] On a Schrodinger equation with a merging pair of a simple pole and a simple turning point

    • Author(s)
      S.Kamimoto, T.Kawai, T.Koike, Y.Takei
    • Journal Title

      Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation (Proceedings of the conference held in CRM Pisa in October 2009)

      Volume: (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] On the exact WKB analysis for difference equations2023

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Complex Differential and Difference Equations II(ベドレボ数学研究・会議センター, ポーランド)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Presentation] On the exact WKB analysis for difference equations2023

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Various Problems in Microlocal Analysis and Asymptotic Analysis(京都大学数理解析研究所, 京都市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Presentation] On the exact WKB analysis for difference equations2023

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Frontiers in Nonlinear Differential Equations and Stokes Phenomena(沖縄科学技術大学院大学(OIST), 沖縄県)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Presentation] Comparison between WKB solutions and convergent solutions at a regular singular point of simple pole type via the confluence2022

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Prospects in microlocal analysis and asymptotic analysis(京都大学数理解析研究所, 京都市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Presentation] On two-parameter instanton-type solutions of Painleve equations and their analytic interpretation2022

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Physical resurgence: On quantum, gauge, and stringy(ケンブリッジ大学ニュートン研究所, 英国)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Presentation] Global study of differential equations via the exact WKB --- from Schrodinger equations to Painleve equations,2021

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Applicable resurgent asymptotics: towards a universal theory (オンライン, ケンブリッジ大学ニュートン研究所, 英国)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Presentation] 微分方程式の完全WKB解析について --- 複素解析と漸近解析の一つの接点 ---2021

    • Author(s)
      竹井義次
    • Organizer
      第19回岡シンポジウム (オンライン, 奈良女子大学, 奈良市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Presentation] On the instanton-type formal solutions of Painleve equations2021

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Exact WKB Analysis, Microlocal Analysis, Painleve Equations and Related Topics (オンライン, 京都大学数理解析研究所, 京都市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Presentation] On crossing phenomenon of three ordinary Stokes curves for third-order ordinary differential equations2019

    • Author(s)
      Sampei Hirose, Takahiro Kawai and Yoshitsugu Takei
    • Organizer
      RIMS Conference "Microloccal Analysis and Asymptotic Analysis"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01794
  • [Presentation] パンルヴェ方程式のインスタントン解をめぐって2019

    • Author(s)
      竹井義次
    • Organizer
      金沢大学数理学談話会, 金沢大学理工学域(石川県金沢市)
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On the instanton-type expansions for Painleve transcendents and elliptic functions2019

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      力学系幾何セミナー, アンジェ大学(アンジェ、フランス)
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On the instanton-type expansion of solutions and the transformation theory of differential equations2019

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      「超幾何方程式研究会2019」, 神戸大学理学研究科(兵庫県神戸市
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] Stokes geometry of ordinary differential equations with double turning points related to confluent hypergeometric equations of two variables2018

    • Author(s)
      Sampei Hirose, Takahiro Kawai, Shinji Sasaki and Yoshitsugu Takei
    • Organizer
      RIMS共同研究(公開型)「代数解析学の諸問題」, 京都大学数理解析研究所(京都府京都市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On the instanton-type expansion of solutions and the transformation theory of differential equations2018

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      RIMS共同研究(公開型)「代数解析学の諸問題」, 京都大学数理解析研究所(京都府京都市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] Stokes phenomena and connection formulas for some discrete Painleve equations2018

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      ``Symmetries and Integrability of Difference Equations 13'', JR Hakata City Conference Rooms(福岡県福岡市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] 楕円函数やパンルヴェ特殊函数のインスタントン展開をめぐって2018

    • Author(s)
      竹井義次
    • Organizer
      日本数学会年会函数方程式論分科会特別講演
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On the instanton-type expansions for Painleve transcendents and elliptic functions2018

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      ``Formal and Analytic Solutions of Partial Differential Equations 2018'', パドヴァ大学(パドヴァ, イタリア)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] パンルヴェ方程式の完全WKB解析再訪2018

    • Author(s)
      竹井義次
    • Organizer
      「第33回松山キャンプ」
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On the instanton-type expansions for Painleve transcendents and elliptic functions2018

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      ``Complex Differential and Difference Equations'', ベドレボ数学研究・会議センター(ベドレボ, ポーランド)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On virtual turning points originating from a non-hereditary turning point2017

    • Author(s)
      廣瀬三平,河合隆裕,竹井義次
    • Organizer
      RIMS共同研究(公開型)「超局所解析と漸近解析」
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] Some recent topics in the exact WKB analysis related to the exact steepest descent method2017

    • Author(s)
      竹井義次
    • Organizer
      RIMS共同研究(公開型)「超局所解析と漸近解析」
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] Stokes geometry of higher order ODEs and middle convolution2017

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Asymptotic and computational aspects of complex differential equations
    • Place of Presentation
      E. De Giorgi 数学研究センター(ピサ, イタリア)
    • Year and Date
      2017-02-16
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] Exact WKB analysis for continuous and discrete Painleve equations2016

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Geometry of Wall-Crossing, Deformation Quantization and Resurgent Analysis
    • Place of Presentation
      東北大学知の館(宮城県仙台市)
    • Year and Date
      2016-04-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On virtual turning points2016

    • Author(s)
      Takahiro Kawai, Yoshitsugu Takei
    • Organizer
      Resurgence at Kavli IPMU
    • Place of Presentation
      東京大学 Kavli IPMU(千葉県柏市)
    • Year and Date
      2016-12-16
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] Exact WKB analysis for continuous and discrete Painleve equations2016

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Resurgence in Gauge and String Theories
    • Place of Presentation
      高等工業大学(リスボン, ポルトガル)
    • Year and Date
      2016-07-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On some recent results in the theory of virtual turning points2016

    • Author(s)
      Y. Takei, S. Hirose and T. Kawai
    • Organizer
      RIMS symposium “New development of microlocal analysis and singular perturbation theory”
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2016-10-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] On instanton-type formal solutions of singular-perturbative Hamiltonian systems with several time variables2016

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Formal and Analytic Solutions of Partial Differential Equations
    • Place of Presentation
      リスボン大学(リスボン, ポルトガル)
    • Year and Date
      2016-08-31
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] Toward the exact WKB analysis of systems of differential-difference equations2016

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Exponential Asymptotics of Difference and Differential Equations
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2016-06-08
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] 微分差分方程式系のインスタントン解の構成について2016

    • Author(s)
      竹井義次
    • Organizer
      第23回超局所解析と古典解析
    • Place of Presentation
      別府市ふれあい広場サザンクロス(大分県別府市)
    • Year and Date
      2016-12-04
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On some recent results in the theory of virtual turning points2016

    • Author(s)
      Sampei Hirose, Takahiro Kawai, Yoshitsugu Takei
    • Organizer
      超局所解析と特異摂動論の新展開
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2016-10-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On virtual turning points ― an important ingredient of the WKB theory of higher order ODEs2016

    • Author(s)
      Y. Takei and T. Kawai
    • Organizer
      Resurgence at Kavli IPMU
    • Place of Presentation
      東京大学カブリ数物研究所(千葉県柏市)
    • Year and Date
      2016-12-16
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] WKB analysis and Stokes geometry of differential equations2015

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Summer School "Analytic, Algebraic and Geometric Aspects of Differential Equations"
    • Place of Presentation
      The Mathematical Research and Conference Center in Bedlewo(Poland)
    • Year and Date
      2015-09-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] WKB analysis for the discrete Painleve equation2015

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      International Conference "Analytic, Algebraic and Geometric Aspects of Differential Equations"
    • Place of Presentation
      Bedlewo (Poland)
    • Year and Date
      2015-09-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] WKB analysis and Stokes geometry of differential equations2015

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Summer School "Analytic, Algebraic and Geometric Aspects of Differential Equations"
    • Place of Presentation
      Bedlewo (Poland)
    • Year and Date
      2015-09-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] 離散パンルベ方程式のストークス現象について2015

    • Author(s)
      竹井 義次
    • Organizer
      第22回超局所解析と古典解析
    • Place of Presentation
      富山県民会館(富山県富山市)
    • Year and Date
      2015-12-06
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On the exact WKB analysis of discrete Painleve equations2015

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      RIMS Conference "Microlocal Analysis and Singular Perturbation Theory"
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2015-10-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] WKB analysis for the discrete Painleve equation2015

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      International Conference "Analytic, Algebraic and Geometric Aspects of Differential Equations"
    • Place of Presentation
      The Mathematical Research and Conference Center in Bedlewo(Poland)
    • Year and Date
      2015-09-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] パンルヴェ方程式と離散パンルヴェ方程式2015

    • Author(s)
      竹井 義次
    • Organizer
      研究集会「大阪梅田微分方程式セミナー」
    • Place of Presentation
      関西学院大阪梅田キャンパス(大阪市)
    • Year and Date
      2015-02-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] 離散パンルベ方程式のストークス現象について2015

    • Author(s)
      竹井 義次
    • Organizer
      研究集会「第22回超局所解析と古典解析」
    • Place of Presentation
      富山県民会館(富山県富山市)
    • Year and Date
      2015-12-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] On the exact WKB analysis of discrete Painleve equations2015

    • Author(s)
      竹井 義次
    • Organizer
      RIMS研究集会“超局所解析と特異摂動論”
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2015-10-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] The fourth order PI equation and coalescing phenomena of nonlinear turning points2014

    • Author(s)
      竹井 義次
    • Organizer
      研究集会「第5回ハミルトン系とその周辺」
    • Place of Presentation
      金沢大学サテライトプラザ(金沢市)
    • Year and Date
      2014-05-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] 非線型変わり点の合流現象と4階I型パンルベ方程式2014

    • Author(s)
      竹井 義次
    • Organizer
      研究集会「第21回超局所解析と古典解析」
    • Place of Presentation
      松藤プラザ「えきまえ」(長崎市)
    • Year and Date
      2014-12-06
    • Data Source
      KAKENHI-PROJECT-26287015
  • [Presentation] On the exact WKB analysis for higher order differential equations2013

    • Author(s)
      Y. Takei
    • Organizer
      Global Study of Differential Equations in the Complex Domain
    • Place of Presentation
      Banach Center(Warsaw, Poland)
    • Year and Date
      2013-09-02
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] On the turning point problem for Painlevé equations with a large parameter2013

    • Author(s)
      Y. Takei
    • Organizer
      The 6th Pacific RIM Conference
    • Place of Presentation
      札幌コンベンションセンター
    • Year and Date
      2013-07-04
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] The fourth-order PI equation and coalescing phenomena of nonlinear turning points2013

    • Author(s)
      Y. Takei
    • Organizer
      Formal and Analytic Solutions of Differential, Difference and Discrete Equations
    • Place of Presentation
      Mathematical Conference Center(Bedlewo, Poland)
    • Year and Date
      2013-08-27
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] The fourth-order PI equation and coalescing phenomena of nonlinear turning points2013

    • Author(s)
      Y. Takei
    • Organizer
      Recent progress in the theory of Painlevé equations : algebraic, asymptotic and topological aspects
    • Place of Presentation
      Strasbourg大学(France)
    • Year and Date
      2013-11-07
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Exact WKB analysis and multi-summability.2012

    • Author(s)
      Y. Takei
    • Organizer
      RIMS Symposium
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2012-10-25
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] Exact WKB analysis and multi-summability2012

    • Author(s)
      Y. Takei
    • Organizer
      超局所解析と漸近解析の最近の進展
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2012-10-25
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Parametric Stokes phenomenon and the Voros coefficients for Weber's equation2011

    • Author(s)
      Y. Takei
    • Organizer
      函数方程式論セミナー
    • Place of Presentation
      Strasbourg 大学(France)
    • Year and Date
      2011-08-30
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Exact WKB analysis of second-order non-homogeneous linear differential equations Bifurfaction integral and Borel summability2011

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      数理解析研究所研究集会「漸近解析に於ける超局所解析の展望」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-11-18
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] 微分方程式に対するparametric Stokes phenomenonについて2011

    • Author(s)
      竹井義次
    • Organizer
      談話会
    • Place of Presentation
      広島大学(招待講演)
    • Year and Date
      2011-06-28
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Parametric Stokes phenomenon and the Voros coefficients for Weber's equation2011

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Seminaire Equations fonctionnelles
    • Place of Presentation
      ストラスブール大学(フランス)
    • Year and Date
      2011-08-30
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Exact WKB analysis of second-order non-homogeneous linear differential equations2011

    • Author(s)
      T. Koike and Y. Takei
    • Organizer
      漸近解析に於ける超局所解析の展望
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-11-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Parametric Stokes phenomenon and the Voros coefficients for Weber's equation2011

    • Author(s)
      Y.Takei
    • Organizer
      Seminaire Equations fonctionnelles
    • Place of Presentation
      ストラスブール大学(フランス)
    • Year and Date
      2011-08-30
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Exact WKB analysis of second-order non-homogeneous linear differential equations-Bifurcated integral and Borel summability-2011

    • Author(s)
      竹井義次
    • Organizer
      RIMS研究集会「漸近解析に於ける超局所解析の展望」
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2011-11-18
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] 微分方程式に対するparametric Stokes phenomenonについて2011

    • Author(s)
      竹井義次
    • Organizer
      談話会
    • Place of Presentation
      広島大学(招待講演)
    • Year and Date
      2011-06-28
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] 微分方程式に対するparametric Stokes phenomenon について2011

    • Author(s)
      竹井義次
    • Organizer
      談話会
    • Place of Presentation
      広島大学
    • Year and Date
      2011-06-28
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Exact WKB analysis of second-order non-homogeneous linear differential equations-Bifurcated integral and Borel summability-2011

    • Author(s)
      T.Koike, Y.Takei
    • Organizer
      RIMS研究集会「漸近解析に於ける超局所解析の展望」
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2011-11-18
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Second Painleve equation vs.Weber equation-On the confluence phenomenon of simpie turning points2010

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      RIMS合宿型セミナー「Recent Developments in Resurgence Theory and Related Topics」
    • Place of Presentation
      関西セミナーハウス京都(招待講演)
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] An overview on the resurgent analysis ofone-dimensional Schrodinger equations2010

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      RIMS 共同研究「Exact WKB analysis Borel summability of WKB solutions」(organizer)
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Second Painleve equation vs. Weber equation-On the confluence phenomenon of simple turning points2010

    • Author(s)
      Y.Takei
    • Organizer
      RIMS合宿型セミナー「Recent Developments in Resurgence Theory and Related Topics」
    • Place of Presentation
      関西セミナーハウス(招待講演)
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Painleve 方程式の変わり点における標準形について2010

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      研究集会「第25回松山キャンプ」
    • Place of Presentation
      愛媛県総合社会福祉会館
    • Year and Date
      2010-01-06
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Second Painleve equation vs. Weber equation On the confluence phenomenon of simple turning points2010

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      RIMS 合宿型セミナー「 Recent Developments in Resurgence Theory and Related Topics」
    • Place of Presentation
      関西セミナーハウス
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Second Painleve equation vs.Weber equation-An exact WKB approach to the confluence phenomena of simple turning points2010

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      International Conference "The 8th Workshop on Linear and Nonlinear Waves"
    • Place of Presentation
      大阪大学理学研究科(招待講演)
    • Year and Date
      2010-09-11
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] 1次元Schrodinger方程式の完全WKB解析---WKB解のBorel変換の特異点について---2010

    • Author(s)
      Y.Takei
    • Organizer
      RIMS研究集会「可積分系数理の多様性」
    • Place of Presentation
      京都大学数理解析研究所<招待講演>
    • Year and Date
      2010-08-19
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] 1 次元 Schrodinger 方程式の完全 WKB 解析 WKB 解の Borel 変換の特異点について-2010

    • Author(s)
      竹井義次
    • Organizer
      RIMS 研究集会「可積分系数理の多様性」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-08-19
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] An overview on the resurgent analysis of one-dimensional Schrodinger equations2010

    • Author(s)
      Y.Takei
    • Organizer
      RIMS共同研究「Exact WKB analysis-Borel summability of WKB solutions」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Second Painleve equation vs. Weber equation-An exact WKB approach to the confluence phenomena of simple turning points2010

    • Author(s)
      Y.Takei
    • Organizer
      International Conference 「The 8th Workshop on Linear and Nonlinear Waves」
    • Place of Presentation
      大阪大学理学研究科(招待講演)
    • Year and Date
      2010-09-11
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Second Painleve equation vs. Weber equation An exact WKB approach to the confluence phenomena of simple turning points2010

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      International Conference "The 8thWorkshop on Linear and Nonlinear Waves"
    • Place of Presentation
      大阪大学理学研究科
    • Year and Date
      2010-09-11
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Second Painlevéequation vs Weber equation2010

    • Author(s)
      Y. Takei
    • Organizer
      The 8th Workshop on Linear and Nonlinear Waves
    • Place of Presentation
      大阪大学
    • Year and Date
      2010-09-11
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] An overview on the resurgent analysis of one-dimensional Schrodinger equations2010

    • Author(s)
      Y.Takei
    • Organizer
      RIMS 共同研究「Exact WKB analysis-Borel summability of WKB solutions」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] An overview on the resurgent analysis of one-dimensional Schrodinger Equations2010

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      RIMS共同研究「Exact WKB analysis-Borel summability of WKB solutions」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Second Painlevéequation vs Weber equation2010

    • Author(s)
      Y. Takei
    • Organizer
      Recent Developments in Resurgence Theory and Related Topics
    • Place of Presentation
      関西セミナーハウス
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] 1次元Schrodinger方程式の完全WKB解析2010

    • Author(s)
      Y.Takei
    • Organizer
      RIMS研究集会「可積分系数理の多様性」
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2010-08-19
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Painleve 方程式の変わり点における標準形について2010

    • Author(s)
      竹井義次
    • Organizer
      研究集会「第25回松山キャンプ」(一般発表)
    • Place of Presentation
      愛媛県総合社会福祉会館
    • Year and Date
      2010-01-06
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Exact WKB analysisfor a Schrodinger equation with a merging pair of simple turning points2009

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Functional Equations Seminar(招待講演)
    • Place of Presentation
      ストラスブール大学(フランス)
    • Year and Date
      2009-10-27
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Exact WKB analysisfor simple-pole type singularities of Painleve equations2009

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Mathematical Physics and Geometry Seminar(招待講演)
    • Place of Presentation
      パリ第7大学(フランス)
    • Year and Date
      2009-03-17
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On the turning point problem for instanton-type solutions of (higher order) Painleve equations2009

    • Author(s)
      Y.Takei
    • Organizer
      Asymptotics in dynamics, geometry and PDEs ; generalized Borel summation
    • Place of Presentation
      E.De Giorgi数学研究センター(イタリア)<招待講演>
    • Year and Date
      2009-10-16
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Summability of formal solutions of PDEs and the geometry of Stokes curves2009

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      数理解析研究所研究集会 「 New development of asymptotic analysis and dynamical systems」 (招待講演)
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-16
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On a Schrodinger equation with a merging pair of a simple pole and a simple turning point---Alien calculus of WKB solutions through microlocal analysis2009

    • Author(s)
      S.Kamimoto, T.Kawai, T.Koike, Y.Takei
    • Organizer
      International Conference "Asymptotics in dynamics, geometry and PDEs ; generalized Borel summation"
    • Place of Presentation
      E.De Giorgi数学研究センター(イタリア)<招待講演>
    • Year and Date
      2009-10-15
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On the summability and Stokes phenomena for formal solutions of some PDEs - An exaact WKB approach2009

    • Author(s)
      Y. Takei
    • Organizer
      微分方程式論セミナー
    • Place of Presentation
      Angers大学(France)
    • Year and Date
      2009-03-13
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] On the turning point problem for instanton-type solutions of (higher order) Painlevéequations2009

    • Author(s)
      Y. Takei
    • Organizer
      Asymptotics in dynamics, geometry and PDEs ; generalized Borel summation
    • Place of Presentation
      E. De Giorgi 数学研究センター(Pisa, Italy)
    • Year and Date
      2009-10-16
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] On the summability and Stokes phenomena for formal solutions of some PDEs - An exact WKB approach2009

    • Author(s)
      Y. Takei
    • Organizer
      微分方程式論セミナー
    • Place of Presentation
      Angers大学(France)
    • Year and Date
      2009-03-13
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] On the turning pointproblem for instanton-type solutions of (higher order) Painleve equations2009

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      International Conference "Asymptotics in dynamics, geometry and PDEs; generalized Borel summation" (招待講演)
    • Place of Presentation
      E. De Giorgi 数学研究センター(イタリア)
    • Year and Date
      2009-10-16
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Exact WKB analysis for a Schrödinger equation with a merging pair of simple turning points2009

    • Author(s)
      Y. Takei
    • Organizer
      函数方程式論セミナー
    • Place of Presentation
      Strasbourg 大学(France)
    • Year and Date
      2009-10-27
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Summability of formal solutions of PDEs and the geometry of Stokes curves2009

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      研究集会「漸近解析と力学系の新展開」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-19
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] Exact WKB analysis for a Schrodinger equation with a merging pair of simple turning points2009

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      関数方程式論セミナー
    • Place of Presentation
      ストラスブール大学 (フランス)
    • Year and Date
      2009-10-27
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] On the summabilityand Stokes phenomena for formal solutions of some PDEs An exact WKB approach2009

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Differential Equations Seminar(招待講演)
    • Place of Presentation
      アンジェ大学(フランス)
    • Year and Date
      2009-03-13
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On the turning point problem for instanton-type solutions of (higher order) Painleve equations2009

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      国際研究集会「Asymptotics in dynamics, geometry and PDEs ; generalized Borel summation」
    • Place of Presentation
      E. De Giorgi 数学研究センター (イタリア)
    • Year and Date
      2009-10-16
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] On the turning point problem for instanton-type solutions of (higher order) Painleve equations2009

    • Author(s)
      Y.Takei, et al.
    • Organizer
      Asymptotics in dynamics, geometry and PDEs, generalized Borel summation
    • Place of Presentation
      De Giorgi Center (Pisa 大学) (イタリア)
    • Year and Date
      2009-10-16
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Exact WKB analysis for simple-pole type singularities of Painleve equations2009

    • Author(s)
      Y. Takei
    • Organizer
      数理物理学セミナー
    • Place of Presentation
      Paris第7大学(France)
    • Year and Date
      2009-03-17
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] Summability of formal solutions of PDEs and the geometry of Stokes curves2009

    • Author(s)
      Y. Takei
    • Organizer
      漸近解析と力学系の新展開
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-19
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] 単純極型作用素の完全WKB解析について2008

    • Author(s)
      Y. Takei
    • Organizer
      超幾何方程式研究会2008
    • Place of Presentation
      神戸大学
    • Year and Date
      2008-01-07
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] On the summability and Stokes phenomena for formal solutions of some PDEs - An exaact WKB approach2008

    • Author(s)
      Y. Takei
    • Organizer
      解析的な方程式の新しい取り組み
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-09-17
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] On the exact WKB analysis for the degenerate third Painleve equation2008

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Exact WKB Analysis and Microlocal Analysis
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-05-27
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On the Toulouse Project-How much we have understood the structure of solutions of higher order Painleve equations2008

    • Author(s)
      Takahiro Kawai, Yoshitsugu Takei
    • Organizer
      Applied Mathematics Seminar
    • Place of Presentation
      シドニー大学(オーストラリア)
    • Year and Date
      2008-09-10
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On the summability and Stokes phenomena for formal solutions of some PDEs - An exact WKB approach2008

    • Author(s)
      Y. Takei
    • Organizer
      解析的な方程式の新しい取り組み
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-09-17
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] On the exact WKB analysis for the degenerate third Painleve equation2008

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      研究集会「Exact WKB Analysis and Microlocal Analysis」(招待講演)
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-05-27
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On the exact WKB analysis for the degenerate third Painleve equation2008

    • Author(s)
      Y. Takei
    • Organizer
      Exact WKB Analysis and Microlocal Analysis
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-05-27
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] Transformation theory for MTP equations and singularity structure of the Borel transform of their WKB solutions2008

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      合宿型セミナー「Foundations of exact WKB analysis and resurgence theory 」(organizer)
    • Place of Presentation
      関西セミナーハウス
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis2008

    • Author(s)
      Y. Takei
    • Organizer
      Holomorphic partial differential equations, small divisors and summability
    • Place of Presentation
      Centre International de Rencontres Mathematiques(Marseille, France)
    • Year and Date
      2008-01-29
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] Transformation theory for MTP equations and singularity structure of the Borel transform of their WKB solutions2008

    • Author(s)
      Y.Takei
    • Organizer
      RIMS合宿型セミナー「Foundations of exact WKB analysis and resurgence theory」
    • Place of Presentation
      関西セミナーハウス
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On the transformation theory for Schrodinger equations with two merging turning points2008

    • Author(s)
      Y. Takei
    • Organizer
      偏微分方程式姫路研究集会
    • Place of Presentation
      兵庫県立大学
    • Year and Date
      2008-02-22
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] On the summabilityand Stokes phenomena for formal solutions of some PDEs An exact WKB approach2008

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      研究集会「解析的な方程式の新しい取り組み」(招待講演)
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-09-17
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] On the Toulouse Project- How much we have understood the structure of solutions of higher order Painleve equations2008

    • Author(s)
      Takahiro Kawai 、Yoshitsugu Takei
    • Organizer
      Applied Math. Seminar (招待講演)
    • Place of Presentation
      University of Sydney(オーストラリア)
    • Year and Date
      2008-09-10
    • Data Source
      KAKENHI-PROJECT-20340028
  • [Presentation] Transformation theory for MTP equations and singularity structure of the Borel transform of their WKB solutions2008

    • Author(s)
      Y. Takei
    • Organizer
      Foundations of exact WKB analysis and resurgence theory
    • Place of Presentation
      関西セミナーハウス
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] On the theory of transformation for operators with two merging simple turning points2007

    • Author(s)
      Y. Takei
    • Organizer
      Recent development of global and micro-local analysis on partial differential equations
    • Place of Presentation
      龍谷大学
    • Year and Date
      2007-09-14
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] The Bender-Wu analysis and the Voros theory(Part 2)2007

    • Author(s)
      Takashi Aoki, Takahiro Kawai and Yoshitsugu Takei
    • Organizer
      Differential Equations and Exact WKB Analysis
    • Place of Presentation
      京都大学数理解析研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] The Bender-Wu analysis and the Voros theory (Part 2)2007

    • Author(s)
      T. Aoki, T. Kawai,and Y. Takei
    • Organizer
      Differential Equations and Exact WKB Analysis
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] The Bender-Wu analysis and the Voros theory (Part 2)2007

    • Author(s)
      T., Aoki, T., Kawai, Y., Takei
    • Organizer
      RIMS Conference "Differential Equations and Exact WEB Analysis"(two lectures)
    • Place of Presentation
      RIMS, Kyoto University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] The Bender-Wu analysis and the Voros theory (Part 2)2007

    • Author(s)
      T. Aoki, T. Kawai and Y. Takei
    • Organizer
      RIMS Conference"Differential Equations and Exact WKB Analysis"
    • Place of Presentation
      RIMS, Kyoto University
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Toward the exact WKB analysis for instanton-type solutions of Painleve hierarchies2006

    • Author(s)
      Y. Takei
    • Organizer
      Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-05-20
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] Toward the exact WKB analysis for instanton-type solutions for Painleve hierarchies2006

    • Author(s)
      Y. Takei
    • Organizer
      Workshop on Applied Asymptotics and Modelling
    • Place of Presentation
      International Centre for Mathematical Sciences(Edinburgh, UK)
    • Year and Date
      2006-06-30
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] Structure of instanton-type solutions of higher order Painleve equations near a simple turning point of the first kind2006

    • Author(s)
      T., Kawai, Y., Takei
    • Organizer
      RIMS Conference "Algebraic Analysis and the Exact WEB Analysis for Systems of Differential Equations"
    • Place of Presentation
      RIMS, Kyoto University
    • Year and Date
      2006-12-12
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Structure of instanton-type solutions of higher order Painleve equations near a simple turning point of the first kind2006

    • Author(s)
      T. Kawai,and Y. Takei
    • Organizer
      Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-12-12
    • Data Source
      KAKENHI-PROJECT-18540174
  • [Presentation] Structure of instanton-type solutions of higher order Painleve equations near a simple turning point of the first kind2006

    • Author(s)
      河合 隆裕, 竹井 義次
    • Organizer
      微分方程式系の代数解析と完全 WKB 解析
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-12-12
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Toward the exact WKB analysis for instanton-type solutions of Painleve hierarchies2006

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-05-20
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Toward the exact WKB analysis for instanton-type solutions for Painleve hierarchies2006

    • Author(s)
      Y., Takei
    • Organizer
      ICMS Workshop "Applied Asymptotics and Modelling"
    • Place of Presentation
      ICMS, Edinburgh (UK)
    • Year and Date
      2006-06-30
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Toward the exact WEB analysis for instanton-type solutions of Painleve hierarchies2006

    • Author(s)
      Y., Takei
    • Organizer
      Japanese-French Symposium "Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies"
    • Place of Presentation
      RIMS, Kyoto University
    • Year and Date
      2006-05-20
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Toward the exact WKB analysis for instanton-type solutions for Painleve hierarchies2006

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Workshop on Applied Asymptotics and Modelling
    • Place of Presentation
      International Centre for mathematical Sciences(エディンバラ,連合王国)
    • Year and Date
      2006-06-30
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] On exact WKB analysis for ordinary differential equations-from second order linear equations to higher order and nonlinear-2005

    • Author(s)
      Y., Takei
    • Organizer
      Conference "Comprehensive Study of Differential Equations"(two lectures)
    • Place of Presentation
      University of Tokyo
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Instanton-type formal solutions for the first Painleve hierarchy2005

    • Author(s)
      Y., Takei
    • Organizer
      RIMS Conference "Algebraic Analysis of Differential Equations-from Microlocal Analysis to Exponential Asymptotics"
    • Place of Presentation
      RIMS, Kyoto University
    • Year and Date
      2005-07-14
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Exact WKB analysis for higher order ordinary differential equations-virtual turning points and their relevance-2005

    • Author(s)
      Y., Takei
    • Organizer
      Conference "Complexffied Dynamics, Chaos and Tunnelling"(two lectures)
    • Place of Presentation
      Ritsumeikan University
    • Year and Date
      2005-08-31
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Instanton-type formal solutions for the first Painleve hierarchy2005

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Algebraic Analysis of Differential Equations-from Microlocal Analysis to Exponential Asymptotics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2005-07-14
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] Exact WKB analysis for higher order ordinary differential equations-virtual turning points and their relevance-2005

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Complexified Dynamics, Chaos and Tunnelling
    • Place of Presentation
      立命館大学
    • Year and Date
      2005-08-31
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] 常微分方程式の完全WKB解析をめぐって-2階線型から、高階そして非線型へ-2005

    • Author(s)
      竹井 義次
    • Organizer
      微分方程式の総合的研究
    • Place of Presentation
      東京大学,
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340035
  • [Presentation] The fourth-order PI equation and coalescing phenomena of nonlinear turning points

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Recent progress in the theory of Painleve equations: algebraic, asymptotic and topological aspects
    • Place of Presentation
      ストラスブール大学(フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] The fourth-order PI equation and coalescing phenomena of nonlinear turning points

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      微分方程式の指数解析とその周辺
    • Place of Presentation
      京都大学数理解析研究所(日本)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] The fourth-order PI equation and coalescing phenomena of nonlinear turning points

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      微分方程式の指数解析とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] 特異摂動の代数解析学概説

    • Author(s)
      竹井義次
    • Organizer
      2014年度日本数学会年会(企画特別講演)
    • Place of Presentation
      学習院大学(日本)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] On the turning point problem for Painleve equations with a large parameter

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      The 6th Pacific RIM Conference
    • Place of Presentation
      札幌コンベンションセンター
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] Exact WKB analysis and multi-summability ー A case study

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      RIMS研究集会「超局所解析と漸近解析の最近の進展」
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] On the exact WKB analysis for higher order differential equations

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Global Study of Differential Equations in the Complex Domain
    • Place of Presentation
      Banach Center, Warsaw, Poland
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] 特異摂動の代数解析学概説 --- 指数的に微小な項の厳密な取り扱いをめぐって ---

    • Author(s)
      竹井 義次
    • Organizer
      2014年度日本数学会年会 企画特別講演
    • Place of Presentation
      学習院大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] On the exact WKB analysis for higher order differential equations

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Global Study of Differential Equations in the Complex Domain
    • Place of Presentation
      Banach Center (Warsaw, Poland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] The fourth-order PI equation and coalescing phenomena of nonlinear turning points

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Recent progress in the theory of Painleve equations: algebraic, asymptotic and topological aspects
    • Place of Presentation
      Strasbourg大学, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340026
  • [Presentation] The fourth-order PI equation and coalescing phenomena of nonlinear turning points

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Formal and Analytic Solutions of Differential, Difference and Discrete Equations
    • Place of Presentation
      Mathematical Research and Conference Center (Bedlewo, Poland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] On the turning point problem for Painleve equations with a large parameter

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      The 6th Pacific RIM Conference
    • Place of Presentation
      札幌コンベンションセンター(日本)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] 完全WKB解析とmultisummability

    • Author(s)
      竹井 義次
    • Organizer
      研究集会「第28回松山キャンプ」
    • Place of Presentation
      山口大学理学部
    • Data Source
      KAKENHI-PROJECT-21340029
  • [Presentation] The fourth-order PI equation and coalescing phenomena of nonlinear turning points

    • Author(s)
      Yoshitsugu Takei
    • Organizer
      Formal and Analytic Solutions of Differential, Difference and Discrete Equations
    • Place of Presentation
      Mathematical Research and Conference Center, Bedlewo, Poland
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340026
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