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 / パンルヴェ方程式 / 高階パンルヴェ方程式 / Toulouse Project / Voros係数 / WKB解 / 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 / 漸近展開 / Stokes現象 / Borel総和法 / Watsonの補題 / Borel和 / 見かけの特異点 / 分岐不確定特異点 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
  Kindai 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 / Acknowledgement Compliant / Open Access
- 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
- Peer Reviewed / Acknowledgement Compliant / 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
- NAID
  120003272689
- 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
- NAID
  120003272689
- 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
- NAID
  120003272689
- 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
- NAID
  120003272689
- 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
- NAID
  110008425912
- 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
- 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
- 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
- NAID
  130000254361
- 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
- NAID
  130000419144
- 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)
- NAID
  130000419144
- 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
- NAID
  130000419144
- 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
- NAID
  130000419144
- 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
- NAID
  130000254361
- 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
- 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] 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] 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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
- Invited / Int'l Joint Research
- 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)

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KOIKE Tatsuya 小池 達也

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

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完全WKB解析と多重総和法Principal Investigator

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New developments of asymptotics for differential equationsPrincipal Investigator

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Garnier systems and exact WKBanalysisPrincipal Investigator

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KOIKE Tatsuya 小池達也