KOIKE Tatsuya 小池達也

Researcher Number	80324599
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2016 – 2018: 神戸大学, 理学研究科, 准教授 2017: 神戸大学, 大学院・理学研究科, 准教授 2016: 神戸大学, 大学院理学研究科, 准教授 2011 – 2016: 神戸大学, 理学(系)研究科(研究院), 准教授 2013: 神戸大学, 大学院理学研究科, 准教授 … More
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis Except Principal Investigator Basic analysis / Algebra / Global analysis / Basic analysis / Geometry
Keywords	Principal Investigator 完全WKB解析 / 漸近解析 / 単純極型作用素 / パンルベ方程式 / Voros係数 / ボレル総和法 / 特異摂動 / 多重総和法 / Voros 係数 / 高階パンルベ方程式 … More Except Principal Investigator 完全WKB解析 / 仮想的変わり点 / ガルニエ系 / 変わり点 / 動かない特異点 / 可積分系 / 高階パンルヴェ方程式 / Toulouse Project / Voros係数 / WKB解 / パンルヴェ方程式 / モジュライ空間 / 量子コホモロジーとミラー対称性 / モノドロミー保存変形 / 漸近解析 / 超幾何関数 / Stokes曲線 / 無限階微分作用素 / 完全最急降下法 / Stokes図形 / 代数解析 / 退化ガルニエ系 / インスタントン型形式解 / ボレル変換 / 相空間 / 単純極作用素 / 超局所解析 / 超局所解析学 / パンルヴェ階層 / Pearcey系 / インスタントン解 / 超幾何微分方程式 / ストークス現象 / 合流型超幾何微分方程式 / 接続公式 / 特異摂動 / ストークス図形 / ボレル総和法 / 高階Painleve方程式 / Lax pair / Exact WKB analysis / Painleve hierarchy / 野海・山田系 / Lax対 / 0-パラメタ解 / exact WKB analysis / a higher order Painleve equation / a virtual turning point / リーマン・ヒルベルト対応 / 混合ツイスターD加群 / WKB解析 / パンルベ階層 / 単純極 / 偏微分方程式 / 初期値問題 / 退化第3パンルベ方程式 / 極小モデル理論 / 高次元代数多様体 / 複素力学系 / ミラー対称性 / surface theory / asymptotics of surfaces / discrete differential geometry / linear Weingarten曲面 / Omega surfaces / 3-dimensional spaceforms / Moebius geometry / Lie sphere geometry / Lorentz spaceforms / conserved quantities / Riemannian connections / constant mean curvature surfaces / flat surfaces / linear Weingarten surfaces / 3-dimensional space forms / Weierstrass type representations / non-positive definite spaceforms / constant mean curvature / spacelike surfaces / Euclidean 3-space / hyperbolic 3-space / de Sitter 3-space / Minkowski 3-space / flat surface / spacelike surface / インスタントン型解 / fixed singularities / 完全 WKB 解析 / 解析的 S-行列 / 3 粒子閾値 / M2P1Tシュレーディンガー方程式 / 解析的S-行列 / trussbridge diagram函数 / Mathieu方程式 / MPPT作用素 / alien calculus / ゴースト作用素 / 2重変わり点作用素 / MTP作用素 / 解析学 / 関数方程式論 / 超幾何系 / ＷＫＢ解析 / パンルベ方程式 / ストークス幾何 / 完全ＷＫＢ解析 / 完全積分可能系 / ストークス曲面 / 新しいストークス曲線 / ボレル総和可能性 / 多重総和可能性 / カルタン幾何 / q-パンルヴェ方程式 / 超幾何函数 / 代数函数 / モノドロミ / モノドロミ非保存変形 / ヴォロス係数 / 擬微分作用素 / 核関数 / 表象理論 / 解析的擬微分作用素 / 表象 / 幾何微分方程式 / Parametric Stokes現象 / インスタント解 / 多重スケール解析 / 超幾保関数 / alien derivative / 超局所解析的S-行列論 / 極大過剰決定系 / ランダウ・中西曲面 / ボレル総和 / パンルヴェ函数 / 再生函数 / 陪特性帯 / Whitneyの傘 / Landau-中西幾何学 / 再生函数論 / ファインマン積分 / acnode / 解析学S-行列論 / 数値評価 / 多変数超幾何関数 / Borel 総和 / 多変数超幾何多項式 / A超幾何系 / 合流型 A-超幾何関数 / ホロノミック勾配法 / order polytope / Borel変換 / (new) Stokes curve / 遷移確率 / WKB型擬微分方程式 / new Stokes curve / エネルギーレベルの交差 / Turning point / (New) Stokes curve / Exact steepest descent method / Transition probability / Microdifferential equation / トゥールーズ計画 / WKB型超局所微分作用素 / 特異摂動論 / 代数解析学 / 高階パンルヴェ方式 / ストークス曲線 / WKB型擬微分作用素 / 高階バンルヴェ方程式 / ストーク図形 / 西川現象 / 第1種の変わり点 / 第2種の変わり点 / 無限個の相 / WKB型微分作用素 / 超局所微分作用素 / Landau-Zener型 / 陪特性グラフ / The Toulouse Project / a microdifferential operator of WKB type / the exact steepest descent method / singular perturbation theory / algebraic analysis / ディラック作用素 / 固有値の非存在 / 極限吸収原理 / レゾナンス / 非相対論的極限 / スペクトル問題 / 一意接続定理 / Dirac operator / Absence of eigenvalues / Limiting absorption principle / Resonance / Non-relativistic limit / 高階パンルベ方程式 / 野海・山田方程式系 / Stokes幾何 / Birkhoff標準形 / 構造定理 / Lax Pair / 変換論 / 第1Painleve方程式 / Noumi-Yamada system / Stokes geometry / Virtual turning point / Instanton-type solution / Birkhoff normal form / Structure theorem / 波動方程式 / 散乱行列 / 修正版Lax-Phillips予想 / ゼータ関数 / 古典力学系 / 量子力学 / WKB法 / 散乱理論 / 修正版ラックス-ヒリップス予想 / 散乱極 / wave equation / scattering matrix / modified Lax-Phillips conjecture / zeta function / system of the classical mechanics / quantum mechanics / WKB method / 1型変わり点 / ∞-Weber方程式 / 形式変換 / ボレル平面 / Toulouse計画 / (パンルヴェ方程式の)第1種変わり点 / instanton型 / ハミルトン系 / 両立条件 / 新しいStokes曲線 / インスタントン展開 / P_J型高階パンルヴェ方程式 / an instanton-type solution / a 0-parameter solution / a turning point of the first kind / a degenerate Garnier system / Floer 理論 / パンルヴェ型方程式 / Floer理論 / 量子コホモロジーとミラー対称性 / Bridgeland安定性 / モジュライ理論 / 国際研究者交流（フランス、ハンガリー） / 国際情報交換 / 国際研究者交流 / 分岐不確定特異点 / 漸近展開 / Stokes現象 / Borel総和法 / Watsonの補題 / Borel和 Less

Algebraic geometry and Integrable systems - Deepning of Theory and New Developments in Mathematics and Mathematical Physics -Ongoing
- Principal Investigator
  
  齋藤政彦
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
完全WKB解析と多重総和法Principal Investigator
- Principal Investigator
  
  小池達也
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe 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
  Kinki University
Theory and numerical evaluation of special functions of several variables
- Principal Investigator
  
  Takayama Nobuki
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
New developments of asymptotics for differential equationsPrincipal Investigator
- Principal Investigator
  
  Koike Tatsuya
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe 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
Developments in Interactions between Algebraic Geometry and Integrable Systems
- Principal Investigator
  
  Saito Masa-Hiko
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kobe 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 systems
- 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
Asymptotic analysis on the Painleve equations and monodromy problems
- Principal Investigator
  
  OHYAMA Yousuke
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Garnier systems and exact WKBanalysisPrincipal Investigator
- Principal Investigator
  
  KOIKE Tatsuya
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Asymptotic behavior of surfaces with special properties via transformation theory and conserved quantities and integrable systems techniques
- Principal Investigator
  
  W.F Rossma
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kobe 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
New developments and interaction between Algebraic Geometry and Integrable Systems
- Principal Investigator
  
  SAITO Masa-hiko
- Project Period (FY)
  2007 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Connection problems for Painleve hierarchies and WKB analysis
- 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 for simple-pole type opratorsPrincipal Investigator
- Principal Investigator
  
  KOIKE Tatsuya
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
  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 equations
- 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
On distribution of scattering poles for several convex bodies
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
無限階微分方程式に対する完全WKB解析の大域的研究Principal Investigator
- Principal Investigator
  
  小池達也
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Unique continuation theorems for systems of partial differential equations and their applications
- Principal Investigator
  
  OKAJI Takashi
- Project Period (FY)
  2003 – 2004
- 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
高次元シュレディンガー方程式に対する完全WKB解析Principal Investigator
- Principal Investigator
  
  小池達也
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Integrable Systems and WKB Analysis
- 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

[Book] Exact WKB Analysis and Microlocal Analysis, RIMS Kôkyûroku Bessatsu2013
- Author(s)
  T. Koike
- Total Pages
  262
- Data Source
  KAKENHI-PROJECT-21340029
[Journal Article] On the singularity structure of WKB solutions of the boosted Whittaker equation ― its relevance to resurgent functions with essential singularities2016
- Author(s)
  S. Kamimoto, T. Kawai, T. Koike
- Journal Title
  
  Lett. Math. Phys.
  
  Volume: 106 Pages: 1791-1815
- DOI
  10.1007/s11005-016-0887-x
- Peer Reviewed / Open Access / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-15J06019, KAKENHI-PROJECT-24340026, KAKENHI-PROJECT-25400114, KAKENHI-PROJECT-16K05177
[Journal Article] Irregularity of Modified $A$-Hypergeometric Systems2015
- Author(s)
  F.Castro-Jimenez, M.C.Fernandez-Fernandez, T.Koike, N.Takayama
- Journal Title
  
  Transaction of AMS
  
  Volume: 367 Pages: 5415-5445
- DOI
  10.1090/s0002-9947-2014-06225-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287018
[Journal Article] Resurgent functions and linear differential operators of infinite order, ― Their happy marriage in exact WKB analysis2014
- Author(s)
  S. Kamimoto, T. Kawai and T. Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B52 Pages: 127-146
- Acknowledgement Compliant / Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24340026
[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
  
  Kokyuroku Bessatsu
  
  Volume: B40 Pages: 293-312
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25287018
[Journal Article] Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations2013
- Author(s)
  T. Koike, Y. Takei
- Journal Title
  
  Kokyuroku Bessatsu
  
  Volume: B40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224001
[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 Borel summability of 0-parameter solutions of nonlinear ordinary differential equations2013
- Author(s)
  S. Kamimoto, T. Koike
- Journal Title
  
  Kokyuroku Bessatsu
  
  Volume: B40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224001
[Journal Article] On the Borel summability of 0-parameter solutions of nonlinear ordinary differential equations2013
- Author(s)
  S. Kamimoto and T. Koike
- Journal Title
  
  Kokyuroku Bessatsu
  
  Volume: B40 Pages: 191-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25287018
[Journal Article] On the Borel summability of 0-parameter solutions of nonlinear ord inary differential equations2013
- Author(s)
  S. Kamimoto and T. Koike
- Journal Title
  
  Kokyuroku Bessatsu
  
  Volume: B40 Pages: 191-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400114
[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] Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations2013
- Author(s)
  T. Koike and Y.Takei
- Journal Title
  
  Kokyuroku Bessatsu
  
  Volume: B40 Pages: 293-312
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400114
[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] 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 a Schrodinger equation with a merging pair of a simple pole and a simple turning point-Alien calculus of WKB solutions through microlocal analysis2011
- Author(s)
  S.Kamimoto, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation (Publications of the Scuola Normale Superiore/CRM Series)
  
  Volume: II Pages: 245-254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[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 exact WKB analysis of higher ordersimple-pole type operators2011
- Author(s)
  T. Kawai, T. Koikeand Y. Takei
- Journal Title
  
  Adv. Math.
  
  Volume: 228 Pages: 63-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[Journal Article] On the Voros coefficient for the Whittaker equation with a large para-meter-Some progress around Sato's conjecture in exact WKB analysis2011
- Author(s)
  T.Koike
- Journal Title
  
  Publ.RIMS, Kyoto Univ.
  
  Volume: (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] On the exact WKB analysis of higher ordersimple-pole type operators2011
- Author(s)
  T.Kawai
- Journal Title
  
  Advances in Mathematics
  
  Volume: 228 Pages: 63-96
- DOI
  10.1016/j.aim.2011.05.010
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028, KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-21740098
[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] On a Schrodinger equation with a merging pair of a simple pole and a simple turning point -- Alien calculus of WKB solutions through microlocal analysis2011
- Author(s)
  S. Kamimoto, T. Kawai, T. Koikeand Y. Takei
- Journal Title
  
  Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II. (Publications of the Scuola Normale Superiore / CRM Series)
  
  Volume: vol. II Pages: 245-254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[Journal Article] On the exact WKB analysis of higher order simple-pole type operators2011
- Author(s)
  T. Kawai, T. Koike, Y. Takei
- Journal Title
  
  Adv. Math
  
  Volume: 228, no.1 Pages: 63-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19104002
[Journal Article] On the Voros coefficient for the Whittaker equation with a large parameter2011
- Author(s)
  T.Koike
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences
  
  Volume: 47 Pages: 375-395
- DOI
  10.2977/prims/39
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028, KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-21740098
[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
- 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. Koikeand Y.Takei
- Journal Title
  
  Publ. Res. Inst. Math. Sci.
  
  Volume: 47 Pages: 375-395
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[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 Pages: 375-395
- DOI
  10.2977/prims/3
- 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
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] Asymptotic behavior of the hyperbolic Schwarz map at irregular singular points2010
- Author(s)
  T. Koike, T. Sasaki, M. Yoshida
- Journal Title
  
  Funkcial. Ekvac
  
  Volume: 53, no.1 Pages: 99-132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19104002
[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 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 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. Koikeand Y. Takei
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 50 Pages: 101-164
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[Journal Article] On the structure of higher order simple-pole type operators inexact WKB analysis2010
- Author(s)
  T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 53 Pages: 249-276
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[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
- 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 (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
  
  Funkcialaj Ekvacioj
  
  Volume: 53 Pages: 249-276
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[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 Issue: 2 Pages: 249-276
- DOI
  10.1619/fesi.53.249
- ISSN
  0532-8721
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] Asymptotic behavior of the hyperbolic Schwarz map at irregular singular points2010
- Author(s)
  T. Koike, T. Sasaki and M. Yoshida
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 53 Pages: 99-132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[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
- URL
  https://www.jstage.jst.go.jp/article/fesi/53/2/53_2_249/_article
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340029
[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
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] Rereading Langer's influential 1937 JWKB paper: the unnecessary Langer transformation; the two h's2009
- Author(s)
  T. Koike and H. J. Silverstone
- Journal Title
  
  J. Phys. A: Math. Theor
  
  Volume: 42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[Journal Article] Rereading Langer's influential 1937 JWKB paper : the unnecessary Langer trans-formation ; the two h's2009
- Author(s)
  T.Koike, H.J.Silverstone
- Journal Title
  
  J.Phys.A : Math.Theor. 42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[Journal Article] On new expressions of the Painleve hierarchies2008
- Author(s)
  T. Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5
  
  Pages: 153-198
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540174
[Journal Article] Virtual Turning Points ? A gift of microlocal analysis to the exact WKB analysis, Algebraic Analysis of Differential Equations2008
- Author(s)
  T. Aoki, N. Honda, T. Kawai, T. Koike, Y. Nishikawa, S. Sasaki, A. Shudo, Y. Takei
- Journal Title
  
  Springer
  
  Pages: 29-43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740071
[Journal Article] On new expressions of the Painleve hierarchies2008
- Author(s)
  T. Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5巻
  
  Pages: 153-198
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540174
[Journal Article] On new expressions of the Painleve hierarchies2008
- Author(s)
  T., Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu 5
  
  Pages: 153-198
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On new expressions of the Painleve hierarchies2008
- Author(s)
  T. Koike
- Journal Title
  
  Kokyuroku Bessatsu B5
  
  Pages: 153-198
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740071
[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] On new expressions of the Painlev´e hierarchies2008
- Author(s)
  T. Koike
- Journal Title
  
  K?oky?uroku Bessatsu B5
  
  Pages: 153-198
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740071
[Journal Article] On new expressions of the Painleve hierarchies2008
- Author(s)
  T. Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5
  
  Pages: 153-198
- Description
  「研究成果報告書概要(和文)」より
- 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] On the Hamiltonian structures of the second and the fourth Painleve hierarchies and degenerate Garnier systems.2007
- Author(s)
  Tatsuya Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu B2
  
  Pages: 99-127
- Data Source
  KAKENHI-PROJECT-18740071
[Journal Article] On the Hamiltonian structures of the second and the fourth Painleve hierarchies, and the degenerate Garnier systems2007
- Author(s)
  T. Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu B2巻
  
  Pages: 99-127
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540174
[Journal Article] On the Hamiltonian structures of the second and the fourth Painleve hierarchies, and the degenerate Garnier systems2007
- Author(s)
  T.Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu B2巻
  
  Pages: 99-127
- Data Source
  KAKENHI-PROJECT-18540174
[Journal Article] On the Hamiltonian structures of the second and the fourth Painleve hierarchies and degenerate Gamier systems2007
- Author(s)
  T., Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu 2
  
  Pages: 99-127
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On the Hamiltonian structures of the second and the fourth Painleve hierarchies and degenerate Garnier systems2007
- Author(s)
  T. Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu B2
  
  Pages: 99-127
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On the Hamiltonian structures of the second and the fourth Painleve hierarchies and degenerate Garnier systems2007
- Author(s)
  T. Koike
- Journal Title
  
  Kokyuroku Bessatsu B2
  
  Pages: 99-127
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740071
[Journal Article] On the Hamiltonian structures of the second and fourth Painleve hierar-chies, and the degenerate Garnier systems2007
- Author(s)
  T.Koike
- Journal Title
  
  RIMS Kokyuroku Bessatsu B2
  
  Pages: 99-128
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On the Hamiltonian structures of the second and the fourth Painlev´e hierarchies and degenerate Garnier systems2007
- Author(s)
  T. Koike
- Journal Title
  
  K?oky?uroku Bessatsu B2
  
  Pages: 99-127
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740071
[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] 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] 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] 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] 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 Math. 373
  
  Pages: 11-47
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540189
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely2005
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Contemporary Math. 373
  
  Pages: 11-47
- Data Source
  KAKENHI-PROJECT-15740088
[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 the exact WKB analysis of operators admitting infinitely many phases2004
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Adv.in Math 181
  
  Pages: 165-189
- Data Source
  KAKENHI-PROJECT-16540189
[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] 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 the exact WKB analysis of microdifferential operators of WKB type2004
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Ann. Inst. Fourier, Grenoble 54
  
  Pages: 1393-1421
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540189
[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] 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] 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 the exact WKB analysis of operators admitting infinitely many phases2004
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Adv.in Math. 181
  
  Pages: 165-189
- Data Source
  KAKENHI-PROJECT-15740088
[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 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] 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] The effect of new Stokes curves in the exact steepest descent method.2002
- Author(s)
  T.Koike
- Journal Title
  
  Microlocal Analysis and Complex Fourier Analysis
  
  Pages: 186-199
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On the Borel summability of 0-parameter solutions of nonlinear ordinary differential equations
- Author(s)
  S. Kamimoto and T. Koike
- Journal Title
  
  To appear in Kokyuroku Bessatsu.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[Journal Article] On the strokes geometry of higher order Painleve equations
- Author(s)
  T.Kawai, T.Koike, Y.Nishikawa, Y.Takei
- Journal Title
  
  Asterisque (In press)
- Data Source
  KAKENHI-PROJECT-15740088
[Journal Article] On the Borel summability of WKB theoretic transformation series
- Author(s)
  S. Kamimoto and T. Koike
- Journal Title
  
  To appear in Kokyuroku Bessatsu.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740098
[Journal Article] On the exact WKB analysis of microdifferential operators of WKB type
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Ann.Int.Fourier (In press)
- Data Source
  KAKENHI-PROJECT-15740088
[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
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Contemporary Math. (In press)
- Data Source
  KAKENHI-PROJECT-15740088
[Presentation] Introduction to exact WKB analysis and Borel summability of WKB solutions2018
- Author(s)
  Tatsuya Koike
- Organizer
  MS Seminar at IPMU, 東京大学
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-17H06127
[Presentation] (合流型) 超幾何微分方程式の Voros 係数の位相的漸化式による表示とその応用2017
- Author(s)
  岩木耕平、小池達也、竹井優美子
- Organizer
  日本数学会関数方程式論分科会, 山形大学
- Data Source
  KAKENHI-PROJECT-17H06127
[Presentation] Voros coefficients in exact WKB analysis2017
- Author(s)
  T. Koike
- Organizer
  Geometry, Analysis and Mathematical Physics
- Place of Presentation
  京都大学 (京都府・京都市)
- Year and Date
  2017-02-13
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] An Introduction to Voros coefficients in exact WKB analysis and its recent depelopments2017
- Author(s)
  Tatsuya Koike
- Organizer
  Geometric Structures Laboratory Seminar, University of Toronto
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-17H06127
[Presentation] (合流型) 超幾何微分方程式の Voros 係数の位相的漸化式による表示とその応用2017
- Author(s)
  岩木耕平、小池達也、竹井優美子
- Organizer
  日本数学会関数方程式論分科会一般講演
- Data Source
  KAKENHI-PROJECT-16K05177
[Presentation] Voros coefficients in exact WKB analysis2017
- Author(s)
  Tatsuya Koike
- Organizer
  Geometry, Analysis and Mathematical Physics
- Place of Presentation
  京都大学
- Year and Date
  2017-02-13
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16K05177
[Presentation] On Voros coefficients in exact WKB analysis2017
- Author(s)
  Tatsuya Koike
- Organizer
  RIMS-iTHEMS International Workshop on Resurgence Theory, 理化学研究所
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-17H06127
[Presentation] Voros coefficients in exact WKB analysis2017
- Author(s)
  Tatsuya Koike
- Organizer
  Geometry, Analysis and Mathematical Physics
- Place of Presentation
  京都大学
- Year and Date
  2017-02-13
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] An Introduction to Voros coefficients in exact WKB analysis and its recent depelopments2017
- Author(s)
  Tatsuya Koike
- Organizer
  Geometric Structures Laboratory Seminar, University of Toronto
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16K05177
[Presentation] On Voros coefficients in exact WKB analysis2017
- Author(s)
  Tatsuya Koike
- Organizer
  RIMS-iTHEMS International Workshop on Resurgence Theory
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16K05177
[Presentation] 完全WKB解析とBorel総和法2016
- Author(s)
  小池達也
- Organizer
  超幾何学校2016
- Place of Presentation
  神戸大学
- Year and Date
  2016-09-01
- Invited
- Data Source
  KAKENHI-PROJECT-16K05177
[Presentation] 完全WKB解析とBorel総和法2016
- Author(s)
  小池達也
- Organizer
  超幾何学校2016
- Place of Presentation
  神戸大学 (兵庫県・神戸市)
- Year and Date
  2016-09-01
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] 完全 WKB 解析と multisummability について2016
- Author(s)
  小池達也
- Organizer
  超幾何方程式研究会 2016
- Place of Presentation
  神戸大学
- Year and Date
  2016-01-07
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] 完全WKB解析とBorel総和法2016
- Author(s)
  小池達也
- Organizer
  超幾何学校2016
- Place of Presentation
  神戸大学
- Year and Date
  2016-09-01
- Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] 完全 WKB 解析と multisummability について2016
- Author(s)
  小池達也
- Organizer
  超幾何方程式研究会 2016
- Place of Presentation
  神戸大学(兵庫県、神戸市)
- Year and Date
  2016-01-07
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] Introduction to Borel summation method and some applications to differential equations2015
- Author(s)
  Tatsuya Koike
- Organizer
  Seminar of Algebra
- Place of Presentation
  Universidad de Sevilla
- Year and Date
  2015-02-12
- Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] A remark on the growth order of Borel transform of WKB solutions of one-dimensional Schr\"{o}dinger equations --- Toward a proof of its multisummability2015
- Author(s)
  Tatsuya Koike
- Organizer
  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
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] A remark on the growth order of Borel transform of WKB solutions of one-dimensional Schroedinger equation2015
- Author(s)
  小池達也
- 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] A remark on the growth order of Borel transform of WKB solutions of one-dimensional Schroedinger equations --- Towards a proof of its multisummability2015
- Author(s)
  T. Koike
- Organizer
  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
- Year and Date
  2015-10-05
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] On Voros coefficients and middle convolution for linear ordinary differential equations with a large parameter2014
- Author(s)
  T. Koike
- Organizer
  Several aspects of microlocal analysis
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-10-23
- Invited
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] On Voros coefficients and middle convolutions for linear ordinary differential equations with a large parameter2014
- Author(s)
  T. Koike
- Organizer
  Several aspects of microlocal analysis (超局所解析の諸相)
- Place of Presentation
  京都大学数理解析研究所, 京都大学
- Year and Date
  2014-10-22
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] Exact WKB analysis of simple pole type operators ― alien calculus using the differential operators of infinite order2014
- Author(s)
  S. Kamimoto, T. Kawai and T. Koike
- Organizer
  Several aspects of microlocal analysis
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-10-24
- Invited
- Data Source
  KAKENHI-PROJECT-24340026
[Presentation] On Voros coefficients and middle convolutions for linear ordinary differential equations with a large parameter2014
- Author(s)
  Tatsuya Koike
- Organizer
  Several aspects of microlocal analysis
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-10-22
- Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] On the computation of Voros coefficients via middle convolutions2013
- Author(s)
  T. Koike
- 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
- Year and Date
  2013-10-15
- Data Source
  KAKENHI-PROJECT-21340029
[Presentation] On irregular modified A-hypergeometric systems and the Borel summation method2013
- Author(s)
  T. Koike
- Organizer
  Recent progress in the theory of Painlevéequations : algebraic, asymptotic and topological aspects
- Place of Presentation
  Strasbourg大学(France)
- Year and Date
  2013-11-07
- Data Source
  KAKENHI-PROJECT-21340029
[Presentation] On the Borel summability of solutions of one-dimensional Schrodinger equations and related topics in exact WKB analysis2012
- Author(s)
  Tatsuya Koike
- Organizer
  研究集会「Borel 総和法と接続問題」
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] On the Borel summability of O-parameter solutions of nonlinear ordinary differential equation2011
- Author(s)
  S.Kamimoto, T.Koike
- 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(京都府)(招待講演)
- Year and Date
  2011-11-18
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] WKB解析的変換級数のBorel総和可能性に関して2011
- Author(s)
  神本晋吾, 小池達也
- Organizer
  日本数学会秋季総合分科会・函数解析学分科会
- Place of Presentation
  信州大学(長野県)
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] WKB 解析的変換級数の Borel 総和可能性に関して2011
- Author(s)
  神本晋吾,小池達也
- Organizer
  日本数学会秋季総合分科会・函数解析学分科会一般講演
- Place of Presentation
  信州大学
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] Exact WKB analysis of second-order non-homogeneous linear differential equations - Bifurcated integral and Borel summability2011
- Author(s)
  T. Koikeand 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
- Year and Date
  2011-11-18
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] On the Borel summability of 0-parameter solutions of nonlinear ordinary differential equations2011
- Author(s)
  神本晋吾, 小池達也
- 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
- Year and Date
  2011-11-18
- Data Source
  KAKENHI-PROJECT-21740098
[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] 合流する単純極と単純変わり点を持つSchoedinger方程式の完全WKB解析2011
- Author(s)
  河合隆裕, 神本晋吾, 小池達也, 竹井義次
- Organizer
  日本数学会秋季総合分科会・函数解析学分科会
- Place of Presentation
  信州大学(長野県)
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-21740098
[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(京都府)(招待講演)
- Year and Date
  2011-11-18
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] 合流する単純極と単純変わり点を持つSchoedinger 方程式の完全WKB 解析2011
- Author(s)
  河合隆裕, 神本晋吾,小池達也,竹井義次(京大数理研)
- Organizer
  日本数学会秋季総合分科会・函数解析学分科会一般講演
- Place of Presentation
  信州大学
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-21740098
[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] Borel summability of WKB solutions for one dimmensional Schroedinger equations2010
- Author(s)
  小池達也
- Organizer
  RIMS短期共同研究「Exact WKB analysis-Borel summability of WKB solutions」
- Place of Presentation
  京都大学数理解析研究所(京都府)(招待講演)
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] 一次元シュレーディンガー方程式の完全 WKB 解析 - 基礎理論と最近の発展について I, II, III2010
- Author(s)
  小池達也
- Organizer
  RIMS 研究集会「準古典解析における諸問題」
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] 1次元シュレーディンガー方程式の完全WKB解析-基礎理論と最近の発展についてI,II,III2010
- Author(s)
  小池達也
- Organizer
  RIMS研究集会「準古典解析における諸問題」
- Place of Presentation
  京都大学数理解析研究所(京都府)(招待講演)
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] On the Borel summability of WKB solutions2010
- Author(s)
  Tatsuya Koike
- 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
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] Borel summability of WKB solutions for one dimmensional Schroedinger equations2010
- Author(s)
  T. Koike
- Organizer
  RIMS 短期共同研究「Exact WKB analysis - Borel summability of WKB solutions」
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] On a Schrodinger equation with a merging pair of a simple pole and a simple turning point II2009
- Author(s)
  T.Koike, 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
  2009-10-15
- Data Source
  KAKENHI-PROJECT-20340028
[Presentation] On a Schrodinger operator with a merging pair of a simple pole and a simple turning point, II Computation of Voros coefficients and its consequence2009
- Author(s)
  T. Koike
- Organizer
  Asymptotics in dynamics, geometry and PDEs; generalized Borel summation
- Place of Presentation
  CRM,Pisa(イタリア)
- Year and Date
  2009-10-15
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] On a Schrodinger operator with a merging pair of a simple pole and a simple turning point, II2009
- Author(s)
  T.Koike
- Organizer
  New Development of Asymptotic Analysis and Dynamical Systems
- Place of Presentation
  RIMS(京都大学)
- Year and Date
  2009-06-18
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] On a Schrodinger operator with a merging pair of a simple pole and a simple turning point2009
- Author(s)
  T. Koike
- Organizer
  II - Computation of Voros coefficients and its consequence,New Development of Asymptotic Analysis and Dynamical Systems
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-18
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] On the explicit forms of the Voros coefficients of the Coulomb potential in exact WKB analysis2009
- Author(s)
  小池達也
- Organizer
  超幾何方程式研究会2009 一般講演
- Place of Presentation
  神戸大学
- Year and Date
  2009-01-07
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On a Schrödinger operator with a merging pair of a simple pole and a simple turning point. II2009
- Author(s)
  T. Koike
- 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
  2009-10-15
- Data Source
  KAKENHI-PROJECT-21340029
[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 a Schrodinger operator with a merging pair of a simple pole and a simple turning point, II, Computation of Voros coefficients and its consequence2009
- Author(s)
  T.Koike
- Organizer
  Asymptotics in dynamics, geometry and PDEs ; gen-eralized Borel summation
- Place of Presentation
  CRM(Pisa,イタリア)
- Year and Date
  2009-10-15
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] Borel summability of formal solutions of Riccati equations2009
- Author(s)
  T. Koike
- Organizer
  S￥'eminaire Equations fonctionnelles IRMA
- Place of Presentation
  Strasbourg(フランス)
- Year and Date
  2009-10-22
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] On the exact WKB analysis for simple pole type operators2008
- Author(s)
  T., Koike
- Organizer
  Workshop on Hypergeometric Equations 2008
- Place of Presentation
  Kobe University
- Year and Date
  2008-01-07
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] 単純極型作用素の完全WKB 解析について2008
- Author(s)
  小池達也
- 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-18740071
[Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis2008
- Author(s)
  T., Koike
- Organizer
  CIRM Conference "Holomorphic Partial Differential Equations, Small Divisors and Summability"
- Place of Presentation
  CIRM, Marseille (France)
- Year and Date
  2008-01-29
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the exact WKB analysis for simple pole type operators2008
- Author(s)
  T. Koike
- Organizer
  "Workshop on Hypergeometric Equations 2008"
- Place of Presentation
  Kobe University
- Year and Date
  2008-01-07
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the explicit forms of the Voros coefficients of the Coulomb potential in exact WKB analysis2008
- Author(s)
  T. Koike
- Organizer
  Seminar on Singular Perturbations
- Place of Presentation
  Special weeks on parametric resurgence、京都大学
- Year and Date
  2008-09-29
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On the eigenvalue problem of the Coulomb potential and excact WKB analysis2008
- Author(s)
  T. Koike
- Organizer
  Holomorphic partial differential equations, small divisors and summability
- Place of Presentation
  CIRM, France
- Year and Date
  2008-01-29
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] 単純極型作用素の完全WKB解析について2008
- Author(s)
  T. Koike
- Organizer
  超幾何方程式研究会2008
- Place of Presentation
  神戸大学
- Year and Date
  2008-01-07
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Painleve hierarchies, degenerate Gamier systems and WKB analysis2008
- Author(s)
  小池達せ
- Organizer
  日本学会秋季総合分科会函数方程式論分科会特別講演
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-24
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] P^34-hierarchy, degenerate Garnier systems and WKB analysis. 研究集会「完全WKB 解析と超局所解析2008
- Author(s)
  T. Koike
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-05-27
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On the explicit forms of the Voros coefficients of the Coulomb potential in exact WKB analysis Workshop on New approach to analytic equations ? transformation theory2008
- Author(s)
  T. Koike
- Organizer
  singular solutions and Stokes problem
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-09-18
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis2008
- Author(s)
  T. Koike
- Organizer
  International Workshop on Global Behaviors of Differential Equations
- Place of Presentation
  Hiroshima University
- Year and Date
  2008-09-10
- Data Source
  KAKENHI-PROJECT-19104002
[Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis2008
- Author(s)
  T. Koike
- Organizer
  Holomorphic partial differential equations, small divisors and summability
- Place of Presentation
  CIRM(Marseille, France)
- Year and Date
  2008-01-29
- Data Source
  KAKENHI-PROJECT-18540174
[Presentation] Painlev´e hierarchies, degenerate Garnier systems and WKB analysis2008
- Author(s)
  小池達也
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  特別講演, 東京工業大学
- Year and Date
  2008-09-24
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis2008
- Author(s)
  小池達也
- Organizer
  International Workshop on Global Behayiors of Differential Equations
- Place of Presentation
  広島大学
- Year and Date
  2008-09-10
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis, InternationalWorkshop on Global Behaviors of Differential Equations2008
- Author(s)
  T. Koike
- Organizer
  Singularity and Transformation Theory?
- Place of Presentation
  広島大学理学研究科,
- Year and Date
  2008-09-10
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis Holomorphic partial differential equations2008
- Author(s)
  T. Koike
- Organizer
  small divisors and summability
- Place of Presentation
  CIRM(フランス)
- Year and Date
  2008-01-29
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] クーロンポテンシャルに対する固有値問題と完全WKB 解析,2008
- Author(s)
  小池達也
- Organizer
  九州大学大学院数理科学研究院談話会
- Place of Presentation
  九州大学
- Year and Date
  2008-04-23
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] 単純極型作用素の完全WEB解析について2008
- Author(s)
  T. Koike
- Organizer
  超幾何方程式研究会2008
- Place of Presentation
  神戸大学,日本
- Year and Date
  2008-01-07
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis2008
- Author(s)
  T. Koike
- Organizer
  Holomorphic partial differential equations, small divisors and summability
- Place of Presentation
  CIRM
- Year and Date
  2008-01-29
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Asymptotic behavior of the hyperbolic Schwarz map at irregular singular points (joint work with T. Sasaki and M. Yoshida)2008
- Author(s)
  T. Koike
- Organizer
  Foundations of exact WKB analysis and resurgence theory
- Place of Presentation
  関西セミナーハウス
- Year and Date
  2008-12-15
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] クーロンポテンシャルに対する固有値問題と完全WKB解析2007
- Author(s)
  T. Koike
- Organizer
  神戸大学理学研究科数学教室談話会
- Place of Presentation
  神戸大学理学研究科数学教室
- Year and Date
  2007-10-31
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] クーロンポテンシャルに対する固有値問題と完全WKB 解析2007
- Author(s)
  小池達也
- Organizer
  神戸大学理学研究科数学教室談話会
- Place of Presentation
  神戸大学
- Year and Date
  2007-10-31
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On Painleve hierarchies and the degenerate Gamier systems2007
- Author(s)
  T., Koike
- Organizer
  Workshop on Differential Equations and Asymptotic Analysis
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2007-12-17
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On Painlev´e hierarchies and the degenerate Garnier systems2007
- Author(s)
  T. Koike
- Organizer
  Differential Equations and Asymptotic Analysis
- Place of Presentation
  京都大学数理解析研究所,
- Year and Date
  2007-12-17
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis2007
- Author(s)
  T. Koike
- Organizer
  "Mathematics Colloquium of Kobe University"
- Place of Presentation
  Kobe University
- Year and Date
  2007-10-31
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On Painleve hierarchies and the degenerate Garnier systems2007
- Author(s)
  T. Koike
- Organizer
  Differential Equations and Asymptotic Analysis
- Place of Presentation
  数理解析研究所,日本
- Year and Date
  2007-12-17
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] Higher order Painlev´e equations and the degenerate Garnier systems2007
- Author(s)
  T. Koike
- 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
  2007-12-13
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] Higher order Painleve equations and the degenerate Garnier systems2007
- Author(s)
  T. Koike
- Organizer
  微分方程式系の代数解析と完全WKB解析
- Place of Presentation
  数理解析研究所
- Year and Date
  2007-12-17
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On Painleve hierarchies and the degenerate Garnier systems2007
- Author(s)
  T. Koike
- Organizer
  "Workshop on Differential Equations and Asymptotic Analysis"
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2007-12-17
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the eigenvalue problem of the Coulomb potential and exact WKB analysis2007
- Author(s)
  T., Koike
- Organizer
  Mathematics Colloquium of Kobe University
- Place of Presentation
  Kobe University
- Year and Date
  2007-10-31
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On Painleve hierarchies and the degenerate Garnier systems2007
- Author(s)
  T. Koike
- Organizer
  Differential Equations and Asymptotic Analysis
- Place of Presentation
  数理解析研究所
- Year and Date
  2007-12-17
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the Hamiltonian representation of the second and fourth Painleve hierarchies2006
- Author(s)
  T., Koike
- Organizer
  Analysis Colloquium in Kyoto
- Place of Presentation
  Kyoto University
- Year and Date
  2006-06-17
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the Hamiltonian representation of the second and fourth Painlev´e hierarchies2006
- Author(s)
  T. Koike
- Organizer
  平成18 年度日仏セミナー「Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations, Painlev´e Hierarchies
- Place of Presentation
  京都大学数理解析研究所,
- Year and Date
  2006-05-16
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] Higher order Painleve equations and the degenerate Gamier systems2006
- Author(s)
  T., Koike
- Organizer
  RIMS Conference "Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations"
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2006-12-17
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the Hamiltonian representation of the second and fourth Painleve Hierarchies2006
- Author(s)
  T. Koike
- Organizer
  Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies, 平成18年度日仏セミナー
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2006-05-16
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the Hamiltonian representation of the second and fourth Painlev´e hierarchies2006
- Author(s)
  小池達也:
- Organizer
  京都解析コロキウム
- Place of Presentation
  京都大学
- Year and Date
  2006-06-17
- Data Source
  KAKENHI-PROJECT-18740071
[Presentation] On the Hamiltonian representation of the second and fourth Painleve Hierarchies2006
- Author(s)
  T. Koike
- Organizer
  京都解析コロキウム
- Place of Presentation
  京都大学
- Year and Date
  2006-06-17
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the Hamiltonian representation of the second and fourth Painleve hierarchies2006
- Author(s)
  T., Koike
- 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
  2006-05-16
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the exact WEB analysis of simple pole type operators2005
- Author(s)
  T., Koike
- Organizer
  RIMS Conference "New Trends and Applications of Complex Asymptotic Analysis-around Dynamical Systems, Summability, Continued Fractions"
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2005-06-02
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the exact WKB analysis of simple pole type operators2005
- Author(s)
  T. Koike
- Organizer
  複素漸近解析の新展開と応用-力学系、総和法、連分数をめぐって-
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2005-06-02
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Applications of linear differential operators of infinite order in resurgent function theory
- Author(s)
  T. Koike
- Organizer
  Global Study of Differential Equations in the Complex Domain
- Place of Presentation
  Warsaw, Poland
- Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] 1次元シュレーディンカー方程式に対するWKB解のsummabilityとVoros係数
- Author(s)
  小池達也
- Organizer
  広島大学微分方程式セミナー漸近展開とその周辺
- Place of Presentation
  広島大学微分方程式セミナー漸近展開とその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-21740098
[Presentation] On irregular modified A-hypergeometric series and Borel summation method
- Author(s)
  T. Koike
- Organizer
  Formal and Analytic Solutions of Differential, Difference and Discrete Equations
- Place of Presentation
  Stefan Banach International MathematicalConference Center (Bedlewo，Porland)
- Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] On irregular modified A-hypergeometric systems and the Borel summation method
- Author(s)
  T. Koike
- Organizer
  Recent progress in the theory of Painlevé equations: algebraic, asymptotic and topological aspects
- Place of Presentation
  Strasbourg, France
- Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] On the computation of Voros coefficients via middle convolutions
- Author(s)
  T. Koike
- Organizer
  微分方程式の指数解析とその周辺
- Place of Presentation
  数理解析研究所, 京都
- Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] On irregular modified A-hypergeometric systems and the Borel summation method
- Author(s)
  T. Koike
- Organizer
  Recent progress in the theory of Painlevé equations: algebraic, asymptotic and topological aspects
- Place of Presentation
  IRMA (Strasbourg, France)
- Invited
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] On the computation of Voros coefficients via middle convolutions
- Author(s)
  T. Koike
- Organizer
  Global Study of Differential Equations in the Complex Domain
- Place of Presentation
  Warsaw, Poland
- Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] On irregular modified $A$-hypergeometric series and Borel summatio n method
- Author(s)
  T. Koike
- Organizer
  Formal and Analytic Solutions of Differential, Difference and Disc rete Equations
- Place of Presentation
  Bedleqo (Poland)
- Invited
- Data Source
  KAKENHI-PROJECT-25400114
[Presentation] On the computation of Voros coefficients via middle convolutions (joint work with K. Iwaki)
- Author(s)
  Tatsuya Koike
- 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

1. TAKEI Yoshitsugu (00212019)

# of Collaborated Projects: 10 results

# of Collaborated Products: 49 results
2. AOKI Takashi (80159285)

# of Collaborated Projects: 7 results

# of Collaborated Products: 6 results
3. KAWAI Takahiro (20027379)

# of Collaborated Projects: 6 results

# of Collaborated Products: 18 results
4. HARAOKA Yoshishige (30208665)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. W.F Rossma (50284485)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. SAITO Masa-hiko (80183044)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. NOUMI Masatoshi (80164672)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. YOSHIOKA Kota (40274047)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. YAMADA Yasuhiko (00202383)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. OHTA Yasuhiro (10213745)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. IWASAKI Katsunori (00176538)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. HOSONO Shinobu (60212198)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. MOCHIZUKI Takuro (10315971)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. INABA Michiaki (80359934)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. OKAJI Takashi (20160426)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. FUKAYA Kenji (30165261)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. MORI Shigefumi (00093328)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. MUKAI Shigeru (80115641)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. KANEKO Masanobu (70202017)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. NAMIKAWA Yoshinori (80228080)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. ISHII Akira (10252420)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. FUJINO Osamu (60324711)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. MATSUSHITA Daisuke (90333591)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
24. IRITANI Hiroshi (20448400)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
25. TODA Yukinobu (20503882)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
26. NORO Masayuki (50332755)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
27. SUZUKI Takao (60527208)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
28. NAKAMURA Yayoi (60388494)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
29. HONDA Naofumi (00238817)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
30. IKAWA Mitsuru (80028191)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
31. MITSUI Kentaro (70644889)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
32. SANO Taro (10773195)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
33. YAMAKAWA Daisuke (20595847)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. TAKASAKI Kanehisa (40171433)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. YOSHINAGA Masahiko (90467647)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. HARASHITA Shushi (70396852)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. OHYAMA Yousuke (10221839)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. SAKAI Hidetaka (50323465)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. KIMURA Hironobu (40161575)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. TAKEMURA Koichi (10326069)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. MANO Toshiyuki (60378594)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. KAWAMUKO Hiroyuki (00303719)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. KIKUCHI Tetsuya (00374900)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. IZUMI Shuzo (80025410)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
45. MATSUI Yutaka (10510026)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
46. Takayama Nobuki (30188099)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
47. MATSUMOTO Keiji (30229546)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
48. YAMADA Osanobu (70066744)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
49. NISHIDA Takaaki (70026110)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
50. SHIGEKAWA Ichiro (00127234)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
51. TANIGUCHI Masahiko (50108974)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
52. KOKUBO Hiroshi (50202057)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
53. MORITA Takehiko (00192782)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
54. KAWASHITA Mishio (80214633)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
55. ABE Takeshi (90362409)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
56. NAKAJIMA Hiraku (00201666)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
57. NAKAMURA Iku (50022687)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. TANIGUCHI Takashi (60422391)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. ONO Kaoru (20204232)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. YAMAZAKI Susumu (00349953)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
61. UMETA Yoko (90606386)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
62. 小林真平 (40408654)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
63. 藤森祥一 (00452706)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
64. 國分雅敏 (50287439)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
65. 吉野正史 (00145658)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
66. 大仁田義裕 (90183764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
67. KAMIMOTO Shingo

# of Collaborated Projects: 1 results

# of Collaborated Products: 5 results

KOIKE Tatsuya 小池 達也

Research Projects

Research Products

Co-Researchers

Algebraic geometry and Integrable systems - Deepning of Theory and New Developments in Mathematics and Mathematical Physics -Ongoing

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

完全WKB解析と多重総和法Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

New developments of asymptotics for differential equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Garnier systems and exact WKBanalysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

KOIKE Tatsuya 小池達也