Takemura Kouichi 竹村剛一

… Alternative Names

TAKEMURA Kouichi 竹村剛一

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Researcher Number	10326069
Other IDs
Affiliation (Current)	2025: お茶の水女子大学, 基幹研究院, 教授
Affiliation (based on the past Project Information) *help	2019 – 2023: お茶の水女子大学, 基幹研究院, 教授 2010 – 2018: 中央大学, 理工学部, 准教授 2007 – 2009: Yokohama City University, 国際総合科学部, 准教授 2008: 横浜市立大学, 国際総合科学研究科, 准教授 2005: 横浜市立大学, 国際総合科学部, 助手 2001 – 2004: 横浜市立大学, 総合理学研究科, 助手 2000: 横浜市立大学, 理学部, 助手
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12020:Mathematical analysis-related / Basic analysis / Algebra Except Principal Investigator Global analysis / Global analysis / Basic analysis
Keywords	Principal Investigator ホインの微分方程式 / パンルヴェ方程式 / 可積分系 / アクセサリーパラメーター / qホイン方程式 / ミドルコンボルーション / 有限帯ポテンシャル / モノドロミー / Inozemtsev模型 / q超幾何関数 … More / qパンルヴェ方程式 / 変異版q超幾何方程式 / 退化 / 特殊関数 / みかけの特異点 / 積分表示 / Hermite-Krichever仮説法 / 準可解性 / 楕円関数 / Heunの方程式 / 量子可積分系 / 量子力学 / 超幾何関数 / ジャクソン積分 / Jackson積分 / 解析学 / 確定特異点 / multi-indexed polynomial / マヤ図形 / ヤコビ多項式 / 直交多項式 / エアリー関数 / 超離散 / 離散パンルヴェ方程式 / 符号付き超離散化 / Ruijsenaars 系 / q差分方程式 / Ruijsenaars系 / Ruijsenaars system / q-Heun equation / ｑ差分 / 超離散方程式 / 不確定特異点 / オイラー積分変換 / 超離散化 / 複素領域の微分方程式 / 数理物理 / Middle convolution / 岡本の初期値空間 / Hermite-Krichever仮設法 / 初期値空間 / パンルベ方程式 / Lameの方程式 / 超楕円積分 / ダルブー変換 / ホインの方程式 / Bethe仮設法 / 正則摂動 / 三角的Calogero-Sutherland模型 / 楕円型Calogero-Moser模型 / Calogero系 … More Except Principal Investigator elastic reflection of pulses / self-replication / bifurcation structure / pulse interaction / pulse dynamics / reaction-diffusion systems / 脈動的進行パルス / 特異点 / 粒子的反射運動 / 弱い相互作用 / 中心多様体 / 非線形発展方程式 / 粒子的反射 / 自己複製 / パルス解 / 反応拡散方程式 / 分岐点 / 欠陥のダイナミクス / パルスの弾性的反射 / 自己複製パターン / 分岐構造 / パルス相互作用 / パルスダイナミクス / 反応拡散系 / モノドロミ非保存変形 / モノドロミ / 代数函数 / 超幾何函数 / q-パンルヴェ方程式 / カルタン幾何 / 漸近解析 / パンルヴェ方程式 / 可積分系 / 融合積 / 単項基底 / 極小表現 / Virasoro代数 / XXX模型 / 密度行列 / 相関関数 / 量子スピン系 / 結晶基底 / Kirillov-Reshetikhin加群 / 自由場表示 / qKZ方程式 / 自由fermion / Wittackerベクトル / 量子戸田格子 / 量子戸田方程式 / Whittackerベクトル / フェルミオン公式 / 有限温度 / 真空期待値 / XXZ模型 / 可解模型 / 組み合わせ論 / 表現論 Less

Difference equations and differential equations associated with accessory parametersPrincipal Investigator
- Principal Investigator
  
  竹村剛一
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Ochanomizu University
Differential equations and difference equations associated with accessory parametersPrincipal Investigator
- Principal Investigator
  
  TAKEMURA Kouichi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Ochanomizu University
  Chuo University
New aspects of special functionsPrincipal Investigator
- Principal Investigator
  
  Takemura Kouichi
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Chuo University
Integrable system and middle convolutionPrincipal Investigator
- Principal Investigator
  
  TAKEMURA Kouichi
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Chuo 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
Integrable system and monodromyPrincipal Investigator
- Principal Investigator
  
  TAKEMURA Kouichi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Yokohama City University
Method of Algebraic Analysis in Mathematical Physics (with the emphasis on Representation Theory, Combinatorics and Complex Analysis)
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
量子可積分系に関係する特殊関数と表現論Principal Investigator
- Principal Investigator
  
  竹村剛一
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Yokohama City University
量子可積分系に関連する表現論と特殊関数Principal Investigator
- Principal Investigator
  
  竹村剛一
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Yokohama City University
Dynamics of localized patterns in nonlinear evolutional systems
- Principal Investigator
  
  EI Shin-ishiro
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Yokohama City University

[Journal Article] On symmetry of q-Painleve equations and associated linear equations2023
- Author(s)
  Takemura Kouichi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B91 Pages: 103-119
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03368
[Journal Article] On symmetry of q-Painleve equations and associated linear equations2023
- Author(s)
  Takemura Kouichi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B91 Pages: 103-119
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03378
[Journal Article] q-Heun equation and initial-value space of q-Painleve equation2023
- Author(s)
  Sasaki Shoko、Takagi Shun、Takemura Kouichi
- Journal Title
  
  Contemp. Math.
  
  Volume: 782 Pages: 119-142
- DOI
  10.1090/conm/782/15725
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03368, KAKENHI-PROJECT-18K03378
[Journal Article] On q-Middle Convolution and q-Hypergeometric Equations2023
- Author(s)
  Arai Yumi, Takemura Kouichi
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 19(037) Pages: 1-40
- DOI
  10.3842/sigma.2023.037
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03368
[Journal Article] Variants of <i>q</i>-Hypergeometric Equation2022
- Author(s)
  Hatano Naoya、Matsunawa Ryuya、Sato Tomoki、Takemura Kouichi
- Journal Title
  
  FE
  
  Volume: 65 Issue: 2 Pages: 159-190
- DOI
  10.1619/fesi.65.159
- ISSN
  0532-8721
- Year and Date
  2022-08-15
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03368, KAKENHI-PROJECT-18K03378
[Journal Article] q-Middle Convolution and q-Painleve Equation2022
- Author(s)
  Sasaki Shoko、Takagi Shun、Takemura Kouichi
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 18
- DOI
  10.3842/sigma.2022.056
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03368, KAKENHI-PROJECT-18K03378
[Journal Article] Heun's differential equation, integral transformation and q-deformation2021
- Author(s)
  Takemura Kouichi
- Journal Title
  
  2021 Days on Diffraction
  
  Volume: - Pages: 152-156
- DOI
  10.1109/dd52349.2021.9598793
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03378
[Journal Article] Variants of Confluent q-Hypergeometric Equations2021
- Author(s)
  Matsunawa Ryuya, Sato Tomoki, Takemura Kouichi
- Journal Title
  
  Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
  
  Volume: - Pages: 161-180
- DOI
  10.1007/978-3-030-78346-4_10
- ISBN
  9783030783457, 9783030783464
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03378
[Journal Article] Polynomial solutions of q-Heun equation and ultradiscrete limit2019
- Author(s)
  Kojima Kentaro、Sato Tsukasa、Takemura Kouichi
- Journal Title
  
  Journal of Difference Equations and Applications
  
  Volume: 25 Issue: 5 Pages: 647-664
- DOI
  10.1080/10236198.2019.1619709
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03378
[Journal Article] Ultradiscrete limit of the spectral polynomial of the q-Heun equation2019
- Author(s)
  Kojima Kentaro、Sato Tsukasa、Takemura Kouichi
- Journal Title
  
  Complex Differential and Difference Equations
  
  Volume: - Pages: 297-312
- DOI
  10.1515/9783110611427-010
- ISBN
  9783110611427
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03378
[Journal Article] Heun’s differential equation and its q-deformation2019
- Author(s)
  Takemura Kouichi
- Journal Title
  
  AIP Conf. Proc.
  
  Volume: 2153 Pages: 020020-020020
- DOI
  10.1063/1.5125085
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03378
[Journal Article] On two-parameter solutions of simultaneous ultradiscrete Painleve II equation with parity variables2018
- Author(s)
  Igarashi Hikaru、Takemura Kouichi
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 59 Issue: 10 Pages: 103502-103502
- DOI
  10.1063/1.5020867
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03378, KAKENHI-PROJECT-26400122
[Journal Article] Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems2018
- Author(s)
  Chen Zhijie、Kuo Ting-Jung、Lin Chang-Shou、Takemura Kouichi
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 264 Issue: 8 Pages: 5408-5431
- DOI
  10.1016/j.jde.2018.01.005
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03378, KAKENHI-PROJECT-26400122
[Journal Article] On reducible monodromy representations of some generalized Lame equation2018
- Author(s)
  Chen Zhijie、Kuo Ting-Jung、Lin Chang-Shou、Takemura Kouichi
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 288 Issue: 3-4 Pages: 679-688
- DOI
  10.1007/s00209-017-1906-z
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03378, KAKENHI-PROJECT-26400122
[Journal Article] On q-Deformations of the Heun Equation2018
- Author(s)
  Takemura Kouichi
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 14, 061 Pages: 1-16
- DOI
  10.3842/sigma.2018.061
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03378, KAKENHI-PROJECT-26400122
[Journal Article] Integral transformation of Heun's equation and some applications2017
- Author(s)
  Kouichi Takemura
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 69 Issue: 2 Pages: 849-891
- DOI
  10.2969/jmsj/06920849
- NAID
  130006887125
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400122
[Journal Article] Degenerations of Ruijsenaars-van Diejen operator and q-Painleve equations2017
- Author(s)
  Kouichi Takemura
- Journal Title
  
  J. Integrable Systems
  
  Volume: 2 Issue: 1
- DOI
  10.1093/integr/xyx008
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400122
[Journal Article] Integral transformation of Heun's equation and some applicationｓ2017
- Author(s)
  Kouichi Takemura
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 69
- NAID
  130006887125
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400122
[Journal Article] New Airy-type solutions of the ultradiscrete Painleve II equation with parity variables2016
- Author(s)
  Hikaru Igarashi, Shin Isojima and Kouichi Takemura
- Journal Title
  
  J. Phys. A
  
  Volume: 49 Issue: 14 Pages: 145207-145207
- DOI
  10.1088/1751-8113/49/14/145207
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400122, KAKENHI-PROJECT-26790082
[Journal Article] Multi-indexed Jacobi polynomials and Maya diagrams2014
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  J. Math. Phys.
  
  Volume: 55 Issue: 11 Pages: 113501-113501
- DOI
  10.1063/1.4899082
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400122
[Journal Article] Ultradiscrete Painlevé VI with Parity Variables2013
- Author(s)
  Kouichi TAKEMURA, Terumitsu Tsutsui
- Journal Title
  
  SIGMA 9
  
  Volume: 070 Pages: 1-12
- DOI
  10.3842/sigma.2013.070
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740107
[Journal Article] Confluence of apparent singularities in multi-indexed orthogonal polynomials : the Jacobi case2013
- Author(s)
  C.-L. Ho, Ryu Sasaki, Kouichi TAKEMURA
- Journal Title
  
  J. Phys
  
  Volume: A46 Issue: 11 Pages: 115205-115205
- DOI
  10.1088/1751-8113/46/11/115205
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740107, KAKENHI-PROJECT-23540303
[Journal Article] Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial2012
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  J. Phys
  
  Volume: A45 Issue: 8 Pages: 85211-85211
- DOI
  10.1088/1751-8113/45/8/085211
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740107
[Journal Article] Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity SIGMA2012
- Author(s)
  Ryu Sasaki, Kouichi TAKEMURA
- Journal Title
  
  SIGMA
  
  Volume: 8(085)
- DOI
  10.3842/sigma.2012.085
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740107, KAKENHI-PROJECT-23540303
[Journal Article] Source identity and kernel functions for Inozemtsev-type systems2012
- Author(s)
  Edwin Langmann, Kouichi TAKEMURA
- Journal Title
  
  J. Math. Phys
  
  Volume: 53 Issue: 8 Pages: 82105-82105
- DOI
  10.1063/1.4745001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740107
[Journal Article] Euler's integral transformation for systems of linear differential equations with irregular singularities2012
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  Banach Center Publ
  
  Volume: 97 Pages: 141-152
- DOI
  10.4064/bc97-0-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740107
[Journal Article] INTRODUCTION TO MIDDLE CONVOLUTION FOR DIFFERENTIAL EQUATIONS WITH IRREGULAR SINGULARITIES2010
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  NEW TRENDS IN QUANTUM INTEGRABLE SYSTEMS
  
  Pages: 393-420
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740107
[Journal Article] Introduction to middle convolution for differential equations with irregular singularities2010
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  New Trends in Quantum Integrable Systems
  
  Pages: 393-420
- DOI
  10.1142/9789814324373_0020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740107
[Journal Article] The Hermite-Krichever ansatz for Fuchsian equations with applications to the sixth painleve equation and to finite-gap potentials2009
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  Math.Zeit. 263巻
  
  Pages: 149-194
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] Middle convolution and Heun's equation2009
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  SIGMA 5巻40号
  
  Pages: 1-22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] Middle convolution and Heum's equation2009
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  SIGMA 5巻40号
  
  Pages: 1-22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] The Hermite -Krichever ansatz for Fuchsian equations with applications to the sixth Painleve equation and to finite-gap potentials2009
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  Math. Zeit 263巻
  
  Pages: 149-194
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] Integral representation of solutions to Fuchsian system and Heun's equation2008
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  J. Math. Anal. Appl. 342巻
  
  Pages: 52-69
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] On the Heun equation2008
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  Philos Transact A Math Phys Eng Sci 366(1867)
  
  Pages: 1179-1201
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] Heunの微分方程式2008
- Author(s)
  竹村剛一
- Journal Title
  
  数学 60
  
  Pages: 272-294
- NAID
  130004558864
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] Finite-gap potential,Heun's differential equation and WKB analysis2008
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  RIMS Kokyilroku Bessatsu B5
  
  Pages: 61-74
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] The best constant of Sobolev inequality on a bounded interval2008
- Author(s)
  Watanabe, K., Kametaka, Y., Nagai, A., Takemura, K., Yamagishi, H
- Journal Title
  
  J. Math. Anal. Appl 340, no.1
  
  Pages: 699-706
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340038
[Journal Article] Finite-gap potential, Heun's differential equation and WKB analysis2008
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5巻
  
  Pages: 61-74
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] Integral representation of solutions to Fuchsian system and Heun's equation2008
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  J. Math. Anal. Appl 342
  
  Pages: 52-69
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740089
[Journal Article] The Heun equation and the Calogero-Moser-Sutherland system IV : the Hermite-Krichever Ansatz2005
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  Communications in Mathematical Physics 258.2
  
  Pages: 367-403
- Data Source
  KAKENHI-PROJECT-15740108
[Journal Article] The Heun equation and the Calogero-Moser-Sutherland system III : the finite gap property and the monodromy2004
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  J.Nonlinear Math.Phys 11
  
  Pages: 21-46
- Data Source
  KAKENHI-PROJECT-15740108
[Journal Article] The Heun equation and the Calogero-Moser-Sutherland system II : perturbation and algebraic solution2004
- Author(s)
  Kouichi TAKEMURA
- Journal Title
  
  Electron.J.Differential Equations 15
  
  Pages: 1-30
- Data Source
  KAKENHI-PROJECT-15740108
[Presentation] ホインの微分方程式に関連する三項間漸化式2024
- Author(s)
  森みずき、竹村剛一
- Organizer
  2024 日本数学会年会
- Data Source
  KAKENHI-PROJECT-22K03368
[Presentation] qミドルコンボルーションの再定式化2023
- Author(s)
  竹村剛一
- Organizer
  RIMS共同研究(公開型) 「表現論とその周辺分野における最近の進展」
- Data Source
  KAKENHI-PROJECT-22K03368
[Presentation] Kernel function, q-integral transformation and q-Heun equations2023
- Author(s)
  竹村剛一
- Organizer
  2023 日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K03368
[Presentation] q-middle convolution について2023
- Author(s)
  竹村剛一
- Organizer
  2023年度表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-22K03368
[Presentation] On q-middle convolution and q-hypergeometric equations2022
- Author(s)
  新井由美、竹村剛一
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] On q-middle convolution and q-hypergeometric equations2022
- Author(s)
  新井由美、竹村剛一
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K03368
[Presentation] On q-Heun equation and q-Painleve equation2022
- Author(s)
  Kouichi Takemura
- Organizer
  The Twelfth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] Heun's differential equation, integral transformation and q-deformation2021
- Author(s)
  Kouichi Takemura
- Organizer
  International Conference Days on Diffraction 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] On q-Heun equation and q-Painleve equation2021
- Author(s)
  竹村剛一
- Organizer
  RIMS共同研究（公開型）「可積分系数理の諸相」
- Invited
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] ミドルコンボルーションのq変形とqパンルヴェ方程式2021
- Author(s)
  竹村剛一, 佐々木憧子, 高木駿
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] qパンルヴェ方程式の初期値空間とqホイン方程式2021
- Author(s)
  竹村剛一, 佐々木憧子, 高木駿
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] On q-Painleve equation and q-Heun equation2021
- Author(s)
  Kouichi Takemura
- Organizer
  Formal and Analytic Solutions of Diff. Equations on the Internet 2021 (FASnet21)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] q-Heun equation and variants of q-hypergeometric equations2020
- Author(s)
  Kouichi Takemura
- Organizer
  Formal and Analytic Solutions of Diff. Equations on the Internet (FASnet20)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] Basic hypergeometric function and q-Heun equation2019
- Author(s)
  TAKEMURA Kouichi
- Organizer
  Geometric and Harmonic Analysis on homogeneous spaces and Applications in Honor of Professor Takaaki Nomura
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] Variants of q-hypergeometric equation2019
- Author(s)
  波多野　修也・松縄　竜弥・佐藤　智輝・竹村　剛一
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] qホイン方程式の多項式解について2018
- Author(s)
  小嶋健太郎、佐藤司、竹村剛一
- Organizer
  日本数学会2018年度年会無限可積分系セッション
- Data Source
  KAKENHI-PROJECT-26400122
[Presentation] On q-deformations of the Heun equation2018
- Author(s)
  竹村剛一
- Organizer
  日本数学会2018年度秋季総合講演会無限可積分系セッション
- Data Source
  KAKENHI-PROJECT-18K03378
[Presentation] On q-deformations of the Heun equation2018
- Author(s)
  竹村　剛一
- Organizer
  日本数学会2018年度秋季総合講演会無限可積分系セッション
- Data Source
  KAKENHI-PROJECT-26400122
[Presentation] Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems2018
- Author(s)
  Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin, 竹村剛一
- Organizer
  日本数学会2018年度年会無限可積分系セッション
- Data Source
  KAKENHI-PROJECT-26400122
[Presentation] Degenerations of Ruijsenaars-van Diejen operator, q-Painlevé equations and q-Heun equations2017
- Author(s)
  Kouichi Takemura
- Organizer
  Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics
- Place of Presentation
  Vienna, Austria
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400122
[Presentation] On solutions of ultradiscrete Painlave II equation with parity variables2017
- Author(s)
  五十嵐光, 竹村剛一
- Organizer
  日本数学会2017年度秋季総合講演会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-26400122
[Presentation] Degenerations of Ruijsenaars-van Diejen operator and q-Painleve equations2017
- Author(s)
  竹村剛一
- Organizer
  日本数学会2017年度秋季総合講演会無限可積分系セッション
- Data Source
  KAKENHI-PROJECT-26400122
[Presentation] New Airy-type solutions of the ultradiscrete Painleve II equation with parity variables2016
- Author(s)
  Hikaru Igarashi, Shin Isojima and Kouichi Takemura
- Organizer
  日本数学会2016年度年会函数方程式論分科会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-26400122
[Presentation] Multi-indexed Jacobi polynomials and Maya diagrams2014
- Author(s)
  竹村　剛一
- Organizer
  日本数学会2014年度秋季総合分科会無限可積分系セッション
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-26400122
[Presentation] Global solutions of certain second order differential equations with a high degree of apparent singularity2013
- Author(s)
  佐々木　隆, 竹村　剛一
- Organizer
  日本数学会２０１３年度年会函数方程式論分科会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-22740107
[Presentation] Global solutions of certain second order differential equations with a high degree of apparent singularity2013
- Author(s)
  佐々木隆, 竹村剛一
- Organizer
  日本数学会2013年度年会函数方程式論分科会
- Place of Presentation
  京都大学
- Year and Date
  2013-03-20
- Data Source
  KAKENHI-PROJECT-22740107
[Presentation] Confuence of apparent singularities in multi-indexed orthogonal poly-nomials: the Jacobi case2013
- Author(s)
  Choon-Lin Ho, 佐々木　隆, 竹村　剛一
- Organizer
  日本数学会２０１３年度年会無限可積分系セッション
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-22740107
[Presentation] Ultradiscrete Painlevé VI with Parity Variables2013
- Author(s)
  竹村剛一, 筒井栄光
- Organizer
  日本数学会2013年度秋季総合分科会無限可積分系セッション
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-22740107
[Presentation] Ultradiscrete Painleve VI with parity variables2013
- Author(s)
  竹村　剛一，筒井　栄光
- Organizer
  日本数学会２０１３年度秋季総合分科会無限可積分系セッション
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-22740107
[Presentation] Confuence of apparent singularities in multi-indexed orthogonal poly-nomials : the Jacobi case2013
- Author(s)
  C.-L. Ho, 佐々木隆, 竹村剛一
- Organizer
  日本数学会2013年度年会無限可積分系セッション
- Place of Presentation
  京都大学
- Year and Date
  2013-03-23
- Data Source
  KAKENHI-PROJECT-22740107
[Presentation] Source identity and kernel functions for Inozemtsev-type systems2012
- Author(s)
  Edwin Langmann, 竹村剛一
- Organizer
  日本数学会2012年度秋季総合分科会無限可積分系セッション
- Place of Presentation
  九州大学
- Year and Date
  2012-09-18
- Data Source
  KAKENHI-PROJECT-22740107
[Presentation] Source identity and kernel functions for Inozemtsev-type systems2012
- Author(s)
  Edwin Langmann, 竹村　剛一
- Organizer
  日本数学会２０１２年度秋季総合分科会無限可積分系セッション
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-22740107
[Presentation] Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial2011
- Author(s)
  竹村剛一
- Organizer
  日本数学会2011年度秋季総合分科会無限可積分系セッション
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-22740107
[Presentation] On spectral polynomials of the Heun equation.II2009
- Author(s)
  竹村剛一(with B.Shapiro, M.Tator)
- Organizer
  日本数学会秋期総合分科会函数方程式論分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-19740089
[Presentation] On spectral polynomials of the Heun equation2009
- Author(s)
  B. Shapiro, 竹村剛一, M. Tator
- Organizer
  日本数学会秋期総合分科会函数方程式論分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-19740089
[Presentation] 各固有空間の次元の最大公約数が1にならない場合のドリーニュ・シンプソン問題2009
- Author(s)
  大島利雄、竹村剛一
- Organizer
  日本数学会秋期総合分科会無限可積分系セッション
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-19740089
[Presentation] Heun's equation and the space of initial condition for Painleve VI2009
- Author(s)
  竹村剛一
- Organizer
  日本数学会年会無限可積分系セッション
- Place of Presentation
  東京大学
- Year and Date
  2009-03-28
- Data Source
  KAKENHI-PROJECT-19740089
[Presentation] Heun's equation and the space of initial conditions for Painleve VI2009
- Author(s)
  竹村剛一
- Organizer
  日本数学会2008年年会無限可積分系セッション
- Place of Presentation
  東京大学
- Year and Date
  2009-03-28
- Data Source
  KAKENHI-PROJECT-19740089
[Presentation] Middle convolution and integrability2008
- Author(s)
  竹村剛一
- Organizer
  日本数学会2008年年会無限可積分系セッション
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-24
- Data Source
  KAKENHI-PROJECT-19740089
[Presentation] Middle convolution and integrability2008
- Author(s)
  竹村剛一
- Organizer
  日本数学会年会無限可積分系セッション
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-24
- Data Source
  KAKENHI-PROJECT-19740089
[Presentation] Integral representation of solutions to Fuchsian system and Heun's equation2007
- Author(s)
  竹村剛一
- Organizer
  日本数学会2007年総合分科会無限可積分系セッション
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19740089
[Presentation] Integral representation of solutions to Fuchsian system and Heun's equation2007
- Author(s)
  竹村剛一
- Organizer
  日本数学会秋期総合分科会無限可積分系セッショ
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19740089

1. MIWA Tetsuji (10027386)

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2. JIMBO Michio (80109082)

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3. OKADO Masato (70221843)

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4. NAKAYASHIKI Atsushi (10237456)

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5. TAKEYAMA Yoshihiro (60375392)

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6. IOHARA Kenji (00322199)

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7. SUZUKI Takeshi (30335294)

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8. OHYAMA Yousuke (10221839)

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9. SAKAI Hidetaka (50323465)

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10. KIMURA Hironobu (40161575)

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11. HARAOKA Yoshishige (30208665)

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12. KOIKE Tatsuya (80324599)

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13. MANO Toshiyuki (60378594)

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14. KAWAMUKO Hiroyuki (00303719)

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15. KIKUCHI Tetsuya (00374900)

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16. EI Shin-ishiro (30201362)

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17. MIZUMACHI Tetsu (60315827)

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18. SHIRAISHI Takaaki (50143160)

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19. FUJII Kazuyuki (00128084)

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20. YANAGIDA Eiji (80174548)

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21. Isojima Shin

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22. Igarashi Hikaru

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# of Collaborated Products: 3 results
23. Kojima Kentaro

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24. Sato Tsukasa

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Takemura Kouichi 竹村 剛一

TAKEMURA Kouichi 竹村 剛一

Research Projects

Research Products

Co-Researchers

Difference equations and differential equations associated with accessory parametersPrincipal Investigator

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Differential equations and difference equations associated with accessory parametersPrincipal Investigator

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Review Section

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New aspects of special functionsPrincipal Investigator

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Integrable system and middle convolutionPrincipal Investigator

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Asymptotic analysis on the Painleve equations and monodromy problems

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Integrable system and monodromyPrincipal Investigator

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Method of Algebraic Analysis in Mathematical Physics (with the emphasis on Representation Theory, Combinatorics and Complex Analysis)

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量子可積分系に関係する特殊関数と表現論Principal Investigator

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量子可積分系に関連する表現論と特殊関数Principal Investigator

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Dynamics of localized patterns in nonlinear evolutional systems

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[Journal Article] On symmetry of q-Painleve equations and associated linear equations2023

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[Journal Article] On symmetry of q-Painleve equations and associated linear equations2023

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[Journal Article] q-Heun equation and initial-value space of q-Painleve equation2023

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[Journal Article] On q-Middle Convolution and q-Hypergeometric Equations2023

Author(s)

Takemura Kouichi 竹村剛一

TAKEMURA Kouichi 竹村剛一

[Journal Article] Integral transformation of Heun's equation and some applications2017