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KIMURA HIRONOBU  木村 弘信

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KIMURA Hironobu  木村 弘信

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Researcher Number 40161575
Other IDs
External Links
Affiliation (Current) 2025: 熊本大学, 大学院先端科学研究部(理), 名誉教授
Affiliation (based on the past Project Information) *help 2020 – 2023: 熊本大学, 大学院先端科学研究部(理), 名誉教授
2016 – 2019: 熊本大学, 大学院先端科学研究部(理), 教授
2010 – 2015: 熊本大学, 自然科学研究科, 教授
2013: 熊本大学, 大学院・自然科学研究科, 教授
2011: 東京大学, 数理科学研究科, 教授 … More
2007 – 2010: Kumamoto University, 大学院・自然科学研究科, 教授
2008: Kumamoto University, 自然科学研究科, 教授
2002 – 2007: Kumamoto University, Faculty of Sciences, Professor, 理学部, 教授
2006: 熊本大学, 大学院自然科学研究科, 教授
2006: Kumamoto University, Graduate school of Science and Technology, Professor, 自然科学研究科, 教授
2005: Kumamoto University, Faculty of Mathematics, Professor, 大学院・自然科学研究科, 教授
1999 – 2003: 熊本大学, 大学院・自然科学研究科, 教授
1999: 熊本大学, 自然科学研究科, 教授
1995 – 1998: 熊本大学, 理学部, 教授
1993 – 1994: 東京大学, 大学院数理科学研究科, 助教授
1992 – 1994: 東京大学, 大学院・数理科学研究科, 助教授
1992: 東京大学, 大学院数理科・学研究科, 助教授
1992: 東京大学大学院, 数理科学研究科, 助教授
1990 – 1991: 東京大学, 教養学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Global analysis / 解析学 / Basic Section 12010:Basic analysis-related / Basic analysis / Global analysis
Except Principal Investigator
解析学 / Algebra / 代数学・幾何学 / Global analysis / Global analysis / Basic analysis / 非線形科学 / Geometry
Keywords
Principal Investigator
一般超幾何関数 / de Rham cohomology / 超幾何関数 / モノドロミー保存変形 / 一般Schlesinger系 / homology / generalized Airy function / Painleve方程式 / general hypergeometric function / holonomic系 … More / confluence / de Rham theory / hypergeometric / 準直交多項式 / Painleve equation / 特殊関数 / Radon変換 / Twistor理論 / Schlesinger系 / Airy関数 / Grassmann多様体 / 合流 / 超幾何函数 / 量子Painleve系 / 行列積分 / intersection theory / 交点数 / 交点理論 / flat basis / cohomology / stratification / regular element / Lie algebra / special function / Twistor theory / de Rham理論 / Ward対応 / 可積分系 / 隣接関係式 / Random matrix / semi-classical 直交多項式 / Grobner基底 / Hemite行列積分 / Capelli恒等式 / 一般の位置にある超曲面配置 / Hermite行列積分 / グラスマン多様体上の超幾何函数 / Mellin-Barnes積分表示 / 量子パンルベ方程式 / 行列積分型超幾何関数 / de Rham Theory / monodromy preserving deformation / general Schlesinger system / Generalized anti-self-dual Yang Mills / Twistor Theory / Okubo方程式 / Gauss-Manin系 / 一般反自己双対Yang-Mills方程式 / 一般化Airy関数 / 一般反自己双対Yang-Mills / accessory parameter / space of initial conditions / Garnier系 / Painlev'e方程式 / Hermite / Kummerの超幾何 / Gauss超幾何 / generalized Airy fanction / intersection matrix / cohomological intersection number / Veronese variety / generating function / Gauss Manin系 / アクセサリーパラメータ / 初期値空間 / quadratic relation / Gauss hypergeometric / Okubo system / Airy / 二次関形式 / ガンマ関数 / 二次関係式 / ガウス超幾何関数 / de Rham 理論 / 鞍部点法 / conomology / 量子パンルベ系 / 量子群 / 量子Grassmann多様体 / q-超幾何関数 / 一般シュレジンガー方程式 / Grassmann多様体上の超幾何関数 / Radon transform / twistor理論 / monodromy 保存変形 / middle convolution / イギリス:フランス / 国際研究者交流 / 一般超幾何 / de Rham cohomology群 / 一般化された反自己双対方程式 / Riemann-Hilbert問題 / Yang-Mills / 関数方程式の大域理論 / 鞍部関法 / holondmic / ハミルトニアン … More
Except Principal Investigator
超幾何関数 / パンルヴェ方程式 / rigid local system / Painleve equations / twisted cohomology / accessory parameter / 漸近展開 / 完全積分可能系 / 量子群 / twisted homology / hypergeometric function / モジュライ空間 / rigid局所系 / ストークス現象 / 接続問題 / モノドロミ-群 / 可積分系 / 合流型超幾何関数 / Painleve方程式 / arrangement of hyperplanes / 超平面配置 / Asymptotic expansion / エアリー関数 / 交点理論 / モノドロミー群 / Moduli space / Conformal field theory / モノドロミー表現 / 共形場理論 / 超幾何函数 / 微分方程式の変形 / アクセサリー・パラメーター / middle convolution / モノドロミー / 接続関係式 / ガンマ関数の拡張 / 大域的理論 / 超超越関数 / 有限単純群 / ドラム・コホモロジー / 合流操作 / 超幾何微分方程式系 / パフィアン系 / パンルベ方程式 / ソリトン / 戸田方程式 / ガルニエ系 / モノドロミ- / 代数曲面 / Fibonacci numbers / quasi-Painleve property / Ganier system / 準パンルヴェ性 / Painleve equation / 特異点 / 準Painleve性 / Garnier系 / Fibonacci数 / 準Pain leve性 / Gasnies系 / Pain leve方程式 / holomorphic line bundle / toric variety / domains of finite type / Szegoe kernel / Peak functions / Singularity theory / Bergman kernel / Toric多様体 / δ^^--Neumann問題 / Toric多様性 / Peaking functions / ∂-Neumann問題 / ∂^^--ノイマン問題 / ベルグマン核 / 正則線束 / 一般超幾何関数 / Peak関数 / 正則直線束 / トーリック多様体 / 有限型領域 / Szegoe核 / ピーク関数 / 特異点論 / Bergman核 / Arithmetic geometry / Rigid geometry / Topological field theory / Modular functor / Integrable systems with infinite degrees of freedom / p進微分方程式 / Artin-Mazur形式群 / リー代数 / 3次元多様体の不変量 / 幾何学的クリスタル / p進解析空間 / カラビ・ヤウ多様体 / 位相場の理論 / モジュライ函手 / ミラー対称性 / Rigid幾何学 / 遠アーベル幾何学 / ワイル群 / タイヒミュラー空間 / KZ方程式 / K3曲面 / 重複ファイバー / 曲線の退化 / ヤコビ多様体 / 代数曲線 / 無限次元代数 / 政論幾何学 / 数論幾何学 / 剛幾何学 / 位相的場の理論 / モジュラー函手 / 無限可積分系 / モイシェゾン多様体 / ファノ多様体 / Moishezon / del Pezzo曲面 / コンパクト化 / confluence / deformation of differential equations / 積分表示 / 超幾何変数 / 合流 / アクセサリー・パラメター / stable parabolic connections / modular groups / moduli spaces / reflection groups / polyhedral harmonics / hypergeometric equations / 逆分岐問題 / ウイナー・ホップ方程式 / ウィナー・ホップ方程式 / 安定放物接続 / 安定放物束 / モジュラー群 / 捩れコホモロジー群 / 鏡映群 / 多面体調和関数 / 超幾何方程式 / irrgular singularity / confluent hypergeometric function / Vanishing cycle / 外積構造 / 振動積分 / accessary parameter / fwisted homology / 不確定特異性 / Airy function / Divergent solution / Intersection theory / Period relation / Irregularity / Irregukar singular / Confluent hypergeometric function / 不確定特異点 / D加群 / 合流超幾何方程式 / 発散解 / 周期関係式 / 不確定度 / 不確定特異 / 合流超幾何関数 / Hecke algebras / vertex operator algebras / combinatorics / monster / algebraic groups / finite simple groups / アソシェーションスキーム / ヘッケ環 / 頂点作用素代数 / 組合せ数学 / モンスター / 代数群 / Birational canonical / Garnier systems / Hypergeometric functions / Special functions / Monodromy / Deformation theory / Integrable system / 線型偏微分方程式系 / 梯子構造 / ホロノミック / 多変数特殊関数 / 双有理正準変換 / 多変数特殊函数 / 変形理論 / connection coefficient / Stokes phenomenon / monodromy group / confluce process / confluent HG function / 正準構造 / 隣接関係式 / ツイステッド・サイクル / ストークス係数 / 多変数合流型超幾何関数 / 多変数超幾何関数 / 接続公式 / ツイスト・コホモロジー / ツイスト・ホモロジー / Quantum groups / Vassiliev invariants / Witten invariant / 3-manifold / Chern-Simons theory / braid group / moduli of riemann surfacesリ-マン面のモジュライ空 / solvable lattice models可解格子模型 / quantum group量子群 / conformal field theory共形場理論 / 3ーmanifold3次元多様体 / mapping class goup写像類群 / braid group組紐群 / 結び目理論 / 降中心列 / 写像類群 / バシリエフ不変量 / ウィッテン不変量 / 3次元多様体 / チャーンサイモンズ理論 / 組みひも群 / モノドロミ非保存変形 / モノドロミ / 代数函数 / q-パンルヴェ方程式 / カルタン幾何 / 漸近解析 / 微分方程式 / 解析学 / 接続係数 / 超曲面 / 複素領域における微分方程式 / 大域解析 / holonomic system / rigid局所糸 / パラメーター / アクセサリー / ねじれホモロジー / エアリー関数の拡張 / p-調和関数 / プサイ関数の積分系列 / 特殊関数 / 差分方程式の大域的解析 / 差分方程式 / プサイ関数積分系列 / プサイ関数の拡張 / 多変数差(微)分方程式系 / プサイ関数の積分 / 線形差分方程式(系) / 数式処理 / 大域的解析 / 超幾何微分方程式 / 直既約加群 / C^*-力学系 / ドロミオン / 戸田格子 / ロトカボルテラ方程式 / QR分解法 / 非線形シュレディンガー方程式 / q離散 / 量子群の表現 / 変換群 / Conpleteness / Many-body / Scattglng / ユニタリ表現 / 不連続群 / 保型形式 / ハルミトン系 / グラスマン多様体 / ゲルファント超幾何函数 / マクドナルド多項式 / 球函数 / qアナロ-グ / 表現の指標 / Chow群 / 平方剰余記号 / Dedekind和 / 合同部分群 / 非合同イデアル群 / 二次体 / 二次剰余記号 / Roitrnanの定理 / モノドロミ-不変変形 / 時間依存型Schro^^¨dinger方程式 / 非線形発展方程式 / 交叉形式 / 構造安定 / 青空型分岐 / 変形 Less
  • Research Projects

    (41 results)
  • Research Products

    (68 results)
  • Co-Researchers

    (110 People)
  •  行列積分型超幾何関数と非線形可積分系の研究Principal Investigator

    • Principal Investigator
      木村 弘信
    • Project Period (FY)
      2019 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kumamoto University
  •  Study of hypergeometric functions on the Grassmannian, q-hypergeometric functions and nonlinear special functionsPrincipal Investigator

    • Principal Investigator
      Kimura Hironobu
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kumamoto University
  •  Study of general hypergeometric functions and integrable systems coming from monodromy preserving deformationPrincipal Investigator

    • Principal Investigator
      KIMURA Hironobu
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  Rigidity and prolongability of differential equations and the study of global structure

    • Principal Investigator
      HARAOKA Yoshishige
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto 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
  •  Toward a unified understanding of general hypergeometric functions and general Schlesinger system by twistor theoryPrincipal Investigator

    • Principal Investigator
      KIMURA Hironobu
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  Analytical and Geometrical Study of Integral Representations of Differential Equations

    • Principal Investigator
      HARAOKA Yoshishige
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  Analytic study of Painleve equations and a nelated clans of equation

    • Principal Investigator
      SHIMOMURA Shun
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  General hypergeometric functions and geometry of the space of arrangements of points with infinitesimal neighborhoodsPrincipal Investigator

    • Principal Investigator
      KIMURA Hironobu
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  ある差分方程式の解の系列に関する研究

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      2002 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Complex analysis of L holomorphic functions on pseudoconvex domains of finite type

    • Principal Investigator
      KAMIMOTO Joe
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  Stratification, exterior power structure, asymptotic behavior and connection coefficients for confluenthypergeometric functions

    • Principal Investigator
      HARAOKA Yoshishige
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  The structure and classification of complex analytic compactifications of C^n with the second Betti number equal to one

    • Principal Investigator
      FURUSHIMA Mikio
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      KUMAMOTO UNIVERSITY
  •  Differential Equations and Reflection Groups(Polyhedral Harmonics, Hypergeometric Equations, and Painleve Equations)

    • Principal Investigator
      IWASAKI Katsunori
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Integrated research of the general hypergeometric systems and nonlinear integrable systemsPrincipal Investigator

    • Principal Investigator
      KIMURA Hironobu
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  差分方程式の大域的理論の研究

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  STUDIES ON D-MODULES DERIVED FROM CONFLUENT HYPERGEOMETRIC DIFFERENTIAL EQUATIONS

    • Principal Investigator
      MAJIMA Hideyuki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Ochanomizu University
  •  Topological theory of local systems having irregular singularities

    • Principal Investigator
      HARAOKA Yoshishige
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  Toward a unified theory of special functions of several variablesPrincipal Investigator

    • Principal Investigator
      KIMURA Hironobu
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Department of Mathematics, Kumamoto University
  •  一般超幾何関数と無限可積分系Principal Investigator

    • Principal Investigator
      木村 弘信
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kumamoto University
  •  有限単純群分類定理の応用

    • Principal Investigator
      YAMAKI Hiroyoshi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kumamoto University
  •  数式処理による微分方程式の研究

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  Group theory and related topics

    • Principal Investigator
      YAMAKI Hiroyoshi
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Kumamoto University
  •  Toward a unified theory special functions of several variablesPrincipal Investigator

    • Principal Investigator
      KIMURA Hironobu
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Department of Mathematics, Kumamoto University
  •  完全積分可能な偏微分方程式系の研究

    • Principal Investigator
      KOHNO Mitsuhiko
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kumamoto University
  •  超幾何関数と量子群

    • Principal Investigator
      堀川 穎二
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  高次元ソリトン方程式の解析

    • Principal Investigator
      薩摩 順吉
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      非線形科学
    • Research Institution
      The University of Tokyo
  •  The theory of transformation groups and its application

    • Principal Investigator
      OKAMOTO Kazuo
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  一般合流超幾何関数の研究Principal Investigator

    • Principal Investigator
      木村 弘信
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo
  •  代数幾何学とその境界領域への応用

    • Principal Investigator
      堀川 穎二
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  微分方程式の変換群

    • Principal Investigator
      岡本 和夫
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  離散型ソリトン方程式の解析

    • Principal Investigator
      薩摩 順吉
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      非線形科学
    • Research Institution
      The University of Tokyo
  •  保型関数

    • Principal Investigator
      清水 英男
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  多体量子系の散乱理論

    • Principal Investigator
      北田 均
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Special Function of Several Variables

    • Principal Investigator
      TAKANO Kyoichi
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Kobe University
  •  代数拡大体の数論の研究

    • Principal Investigator
      黒田 成信
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  特殊函数と代数構造

    • Principal Investigator
      野海 正俊
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  MATHEMATICAL PHYSICS,TOPOLOGY AND RELATED ALGEBRAIC STRUCTURE

    • Principal Investigator
      KOHNO Toshitake
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      UNIVERSITY OF TOKYO
      Kyushu University
  •  代数幾何学とその応用

    • Principal Investigator
      堀川 頴二
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  力学系とその分岐の研究

    • Principal Investigator
      矢野 公一
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo

All 2024 2023 2022 2019 2017 2016 2015 2014 2013 2012 2011 2009 2008 2007 2006 2005 Other

All Journal Article Presentation Book

  • [Book] 超幾何関数入門2007

    • Author(s)
      木村 弘信
    • Total Pages
      185
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Book] 超幾何関数入門 (特殊関数への統一的視点からのアプローチ)2007

    • Author(s)
      木村 弘信
    • Total Pages
      185
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-17340049
  • [Book] 超幾何関数入門2007

    • Author(s)
      木村弘信
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Book] 超幾何関数入 門(特殊関数への統一的視点からのアプローチ)2007

    • Author(s)
      木村弘信
    • Total Pages
      185
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-17340049
  • [Journal Article] Contiguity operators for the classical hypergeometric functions and their Lie algebra structure2024

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Kumamoto Journal of Mathematics

      Volume: 37 Pages: 11-39

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03521
  • [Journal Article] ON THE LIE ALGEBRA OF CONTIGUITY FOR THE HYPERGEOMETRIC FUNCTIONS <i>F<sub>A</sub></i>, <i>F<sub>B </sub></i>AND <i>F<sub>D </sub></i>2024

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 78 Issue: 1 Pages: 129-152

    • DOI

      10.2206/kyushujm.78.129

    • ISSN
      1340-6116, 1883-2032
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03521
  • [Journal Article] Relation of Semi-Classical Orthogonal Polynomials to General Schlesinger systems via Twistor Theory2017

    • Author(s)
      Hironobu Kimura
    • Journal Title

      "Analytic, Algebraic and Geometric Aspects of Differential Equations", Trends in Mathematics

      Volume: 0 Pages: 399-414

    • DOI

      10.1007/978-3-319-52842-7_12

    • ISBN
      9783319528410, 9783319528427
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04903
  • [Journal Article] Confluence of general Schlesinger systems and Twistor theory2016

    • Author(s)
      Hironobu Kimura and Damiran Tseveennamjil
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 46 Pages: 289-309

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04903
  • [Journal Article] General Schlesinger Systems and Their Symmetry from the View Point of Twistor theory2013

    • Author(s)
      Hironobu Kimura, Damiran Tseveenamijil
    • Journal Title

      Journal of Nonlinear Mathematical Physics

      Volume: 20, Supplement 1 Issue: Supplement 1 Pages: 130-152

    • DOI

      10.1080/14029251.2013.862441

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540247
  • [Journal Article] On a problem of arrangements related to the hypergeometric integrals of confluent type2012

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 62 Pages: 137-155

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Journal Article] On a problem of arragements related to the hypergeometric integrals of confluent type2012

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 62 Pages: 137-155

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540247
  • [Journal Article] On Wronskian determinant formulas of the general hypergeometric functions2011

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 34(掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Journal Article] On a problem of arrangements related to the hypergeometric integrals of confluent type, Advanced Studies in Pure Mathematics2011

    • Author(s)
      H.Kimura
    • Journal Title

      Proceedings of MSJ-SI 2009 (in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Journal Article] On Wronskian determinant formulas of the general hypergeometric functions2011

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Tokyo J. Math

      Volume: 34 Pages: 507-524

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Journal Article] On Wronskian determinant formulas of the general hypergeometric functions2011

    • Author(s)
      H.Kimura
    • Journal Title

      Tokyo J.Math. Vol.34(in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Journal Article] On Wronskian determinant formulas of the general hypergeometric functions2011

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 34 Pages: 507-524

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540247
  • [Journal Article] On a problem of arrangements related to the hypergeometric integrals of confluent type2011

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Advanced Studies in Pure Mathematics(ASPM)"Proceedings of MSJ-SI 2009"

      Volume: (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Journal Article] Analogue of Ward correspondence for a degenerated Schlesinger system2009

    • Author(s)
      H.Kimura, Y.Nakamura
    • Journal Title

      Kumamoto J.Math. Vol.22

      Pages: 35-41

    • NAID

      110009930094

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Journal Article] General Schlesinger systems and their hypergeometric type solutions2009

    • Author(s)
      木村弘信
    • Journal Title

      数理解析研究所講究録 1662

      Pages: 218-230

    • Data Source
      KAKENHI-PROJECT-21340038
  • [Journal Article] General Schlesinger systems and their hypergeometric solutions2009

    • Author(s)
      H.Kimura
    • Journal Title

      数理解析研究所講究録 Vol.1662

      Pages: 218-230

    • Data Source
      KAKENHI-PROJECT-19340041
  • [Journal Article] Analogue of Ward correspondence for a degenerated Schlesinger system2009

    • Author(s)
      H.Kimura, Y.Nakamura
    • Journal Title

      Kumamoto Journal of Mathematics 22

      Pages: 35-41

    • NAID

      110009930094

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Journal Article] General Schlesinger systems and their hypergeometric solutions2009

    • Author(s)
      Hironobu Kimura
    • Journal Title

      数理解析研究所講究録 1662

      Pages: 218-230

    • Data Source
      KAKENHI-PROJECT-19340041
  • [Journal Article] Analogue of Ward correspondence for a degenerated Schlesinger system2009

    • Author(s)
      Hironobu Kimura, Yoshikatsu Nakamura
    • Journal Title

      Kumamoto Journal of Mathematics 22

    • NAID

      110009930094

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Journal Article] 退化Schlesinger系とTwistor理論2007

    • Author(s)
      H.Kimura
    • Journal Title

      数理解析研究所講究録 (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] On the de Rham cohomology associated with the general hypergeometric integrals2006

    • Author(s)
      H.Kimura
    • Journal Title

      SuuriKaisekiKenkyujo Kokyuroku 1501

      Pages: 195-206

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] Confluence of the general hypergeometric system2006

    • Author(s)
      H.Kimura, K.Takano
    • Journal Title

      Tohoku Math. Journal 58

      Pages: 1-31

    • NAID

      110004308599

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] On the de Rham cohomology associated with the general hypergeometric integrals2006

    • Author(s)
      H.Kimura
    • Journal Title

      数理解析研究所講究録 1501

      Pages: 195-206

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] On confluences of general hypergeunetic systems2006

    • Author(s)
      Hironobu Kimura, Kyoichi Takano
    • Journal Title

      Tohoku Math. J. 58

      Pages: 1-31

    • Data Source
      KAKENHI-PROJECT-17340050
  • [Journal Article] Confluence of the general hypergeometric systems2006

    • Author(s)
      H.Kimura, K.Takano
    • Journal Title

      Tohoku Math.Journal 58

      Pages: 1-31

    • NAID

      110004308599

    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] Confluence of the general hypergeometric systems2006

    • Author(s)
      H.Kimura, K.Takano
    • Journal Title

      Tohoku Math. Journal 58

      Pages: 1-31

    • NAID

      110004308599

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] On confluences of general hypergeometric systems2006

    • Author(s)
      H.Kimura, K.Takano
    • Journal Title

      Tohoku Math. J. 58-2

      Pages: 1-31

    • NAID

      110004308599

    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] Cohomological intersection numbers for the generalized Airy functions at Veronese points2005

    • Author(s)
      I.Basalaeva, H.Kimura, T.Nakaduka
    • Journal Title

      Funkcialaj Ekvacioj 48(発表予定)

    • NAID

      130000141284

    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] Cohomological intersection numbers for the generalized Airy functions at Veronese points2005

    • Author(s)
      I.Basalaeva, H.Kimura, T.Nakaduka
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 161-181

    • NAID

      130000141284

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] Cohomological intersection numbers for the generalized Airy functions at Veronese points2005

    • Author(s)
      I.Basalaeva, H.Kimura, T.Nakazuka
    • Journal Title

      Funkcial.Ekvac. 48

      Pages: 161-181

    • NAID

      130000141284

    • Data Source
      KAKENHI-PROJECT-17340050
  • [Journal Article] On the twisted de Rham cohomology group of the general hypergeometric integral of type (q+1,1N-q)2005

    • Author(s)
      Hironobu, Kimura
    • Journal Title

      J.Math.Sci.Univ.Tokyo 12

      Pages: 165-189

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340048
  • [Journal Article] Cohomological intersection numbers for the generalized Airy functions at Veronese points.2005

    • Author(s)
      I.Basalaeva, H.Kimura, T.Nakazuka
    • Journal Title

      Funkcial.Ekvac. 48

      Pages: 161-181

    • NAID

      130000141284

    • Data Source
      KAKENHI-PROJECT-14340048
  • [Journal Article] Cohomorgical intersections at Veronese points2005

    • Author(s)
      Basalaeva, H.Kimura, T.Nakazuka
    • Journal Title

      Funkcial.Ekvac. 48

      Pages: 161-181

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340048
  • [Journal Article] On the twisted de Rham cohomology group of the general hypergeometric integral of type (q+1, 1^<N-q>)2005

    • Author(s)
      H Kimura
    • Journal Title

      J.Math.Sci.Univ.Tokyo 12

      Pages: 165-189

    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] On the twisted de Rham cohomology group of the general hypergeometric integral of type (q+l, 1^<N-q>)2005

    • Author(s)
      H.Kimura
    • Journal Title

      J. Math. Sci. Univ. Tokyo 12

      Pages: 165-189

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] On the twisted de Rham cohomology group of the general hypergeometric integral of type (q+1,1*sp{N-q}).2005

    • Author(s)
      Hironobu Kimura
    • Journal Title

      J.Math.Sci.Univ.Tokyo 12

      Pages: 165-189

    • NAID

      110001901867

    • Data Source
      KAKENHI-PROJECT-14340048
  • [Journal Article] On the twisted de Rham cohomology group of the general hypergeometric integral of type(q+1,1N-q)2005

    • Author(s)
      Hironobu, Kimura
    • Journal Title

      J.Math.Sci.Univ.Tokyo 12

      Pages: 165-189

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340048
  • [Journal Article] On the twisted de Rahm cohomology group of the general hypergeometric integral of type (q+1, 1^<N-q>)2005

    • Author(s)
      Hironobu Kimura
    • Journal Title

      J.Math.Sci.Univ.Tokyo 12

      Pages: 165-189

    • Data Source
      KAKENHI-PROJECT-17340050
  • [Journal Article] On the twisted de Rham cohomology group of the general hypergeometric integral of type (q+1, N-q)2005

    • Author(s)
      H.Kimura
    • Journal Title

      J. Math. Sci. Univ. Tokyo 12

      Pages: 165-189

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] On a problem of arrangements related to the hypergeometric integrals of confluent type

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Advanced Studies in Pure Mathematics "Proceedings of MSJ-SI 2009"

      Volume: (未定 掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Journal Article] On Wronskian determinant formulas of the general hypergeometric functions

    • Author(s)
      Hironobu Kimura
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: (未定 掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Journal Article] 退化 Schlesinger 系と Twistor 理論

    • Author(s)
      H.Kimura
    • Journal Title

      SuuriKaisekiKenkyujo Kokyuroku (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340058
  • [Presentation] Radon超幾何函数,その隣接関係とCapelli恒等式2023

    • Author(s)
      Hironobu Kimura
    • Organizer
      日本数学会函数方程式分科会,微分方程式の総合的研究
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03521
  • [Presentation] Radon変換による HGFの隣接関係2022

    • Author(s)
      Hironobu Kimura
    • Organizer
      函数方程式サマーセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03521
  • [Presentation] Some special functions of matrix integral type and quantum Painleve equations2019

    • Author(s)
      木村弘信
    • Organizer
      International Symposium on Orthogonal Polynomials, Special Functions and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03521
  • [Presentation] Some special functions of matrix integral type and quantum Painleve equations2019

    • Author(s)
      木村弘信
    • Organizer
      International Symposium on Orthogonal Polynomials, Special Functions and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04903
  • [Presentation] On hypergeometric functions of matrix arguments2017

    • Author(s)
      Hironobu Kimura
    • Organizer
      Formal and Analytic Solutions of Diff. Equations (FASdiff17)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04903
  • [Presentation] Relation of semi-classical orthogonal polynomials to the general Schlesinger systems2016

    • Author(s)
      Hironobu Kimura
    • Organizer
      International Conference on Partial Differential Equations: General Theory and Variational Problems
    • Place of Presentation
      Philippines, Cebu
    • Year and Date
      2016-01-11
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23540247
  • [Presentation] Orthogonal polynomials and General Schlesinger systems2015

    • Author(s)
      Hironobu Kimura
    • Organizer
      Analytic, Algebraic and Geometric Aspects of Differential Equations
    • Place of Presentation
      Polandm, Bedlewo
    • Year and Date
      2015-09-14
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23540247
  • [Presentation] General Schlesinger systems and Ward Ansatz solutions2015

    • Author(s)
      Hironobu Kimura
    • Organizer
      Recent progress of integrable systems
    • Place of Presentation
      Taipei, Institute of Mathematics in Academia Sinica
    • Year and Date
      2015-04-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23540247
  • [Presentation] Orthogonal polynomials and General Schlesinger systems2015

    • Author(s)
      Hironobu Kimura
    • Organizer
      Analytic, Algebraic and Geometric Aspects of Differential Equations
    • Place of Presentation
      Poland, Bedlewo,
    • Year and Date
      2015-09-14
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04903
  • [Presentation] Orthogonal polynomials and General Schlesinger systems2014

    • Author(s)
      木村弘信
    • Organizer
      研究集会「微分方程式の展望」
    • Place of Presentation
      Kumamoto University
    • Year and Date
      2014-10-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540247
  • [Presentation] On q-integral for q-hypergeometric functions2013

    • Author(s)
      木村弘信
    • Organizer
      Recent Progress in the Painleve equations: algebraic, asymptotic and topological
    • Place of Presentation
      France,Universite de Strasbourg
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540247
  • [Presentation] On a problem of arrangements related to the hypergeometric integrals of confluent type2009

    • Author(s)
      木村弘信
    • Organizer
      The 2^<nd> MSJ-MI「Arrangements of Hyperplanes」
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-08-11
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Presentation] On a problem of arrangements related to the hypergeometric integrals of confluent type2009

    • Author(s)
      Hironobu Kimura
    • Organizer
      MSJ-SI 2009 on Arrangements of Hyperplanes
    • Place of Presentation
      北海道大学学術交流会館
    • Year and Date
      2009-08-11
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Presentation] On a problem of arrangements related to the hypergeometric integrals of confluent type2009

    • Author(s)
      木村弘信
    • Organizer
      The 2nd MSJ-MI「Arrangements of Hyperplanes」
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-08-11
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Presentation] Schlesinger systems and particular solutions of hypergeometric type2008

    • Author(s)
      木村 弘信
    • Organizer
      Journees Franco-Japonaises en l'honneur de Kazuo okamoto : Autour des Equations de Painleve
    • Place of Presentation
      ルイ・パスツール大学, ストラスブール, フランス
    • Year and Date
      2008-11-13
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Presentation] On the Schlesinger systems and their particular solutions of hypergeometric type2008

    • Author(s)
      木村弘信
    • Organizer
      Journees Franco-Japonaises en l'honneur de Kazuo Okamoto : Autour des Equations de Painleve
    • Place of Presentation
      Strasbourg, France
    • Year and Date
      2008-11-13
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Presentation] Schlesinger系の合流とtwister的見方2007

    • Author(s)
      木村弘信
    • Organizer
      研究集会「アクセサリー・パラメーター研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-10
    • Data Source
      KAKENHI-PROJECT-17340049
  • [Presentation] The general Schlesinger system and Ward correspondence2007

    • Author(s)
      H. Kimura
    • Organizer
      研 究集会「Representation Theory,Systems of Differential Equations and their Related Topics」
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-07-03
    • Data Source
      KAKENHI-PROJECT-17340049
  • [Presentation] Schlesinger系の合流とtwister的見方2007

    • Author(s)
      木村 弘信
    • Organizer
      研究集会 「アクセサリー・パラメーター研究会」
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-10-10
    • Data Source
      KAKENHI-PROJECT-17340049
  • [Presentation] モノドロミー保存変形とTwistor理論2007

    • Author(s)
      木村弘信
    • Organizer
      微分方程式の総合的研究
    • Place of Presentation
      東京大学
    • Year and Date
      2007-12-15
    • Data Source
      KAKENHI-PROJECT-19340041
  • [Presentation] The general Schlesinger system and Ward correspondence2007

    • Author(s)
      Hironobu Kimura
    • Organizer
      研究集会 「Representation Theory, Systems of Differential Equations and their Related Topics」
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-07-03
    • Data Source
      KAKENHI-PROJECT-17340049
  • [Presentation] Introduction to the hypergeometric functions on the Grassmannian manifold

    • Author(s)
      Hironobu Kimura
    • Organizer
      Representation theory seminar
    • Place of Presentation
      Mathematical Institute of National University of Mongolia, Ulaanbaatar, Mongolia
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540247
  • 1.  HARAOKA Yoshishige (30208665)
    # of Collaborated Projects: 17 results
    # of Collaborated Products: 0 results
  • 2.  KOHNO Mitsuhiko (30027370)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 3.  OKAMOTO Kazuo (40011720)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 4.  NOUMI Masatoshi (80164672)
    # of Collaborated Projects: 10 results
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  • 25.  YAMADA Kotaro (10221657)
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  • 26.  KAMIMURA Yutaka (50134854)
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  • 33.  INOUE Hisao (40145272)
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  • 35.  斎藤 秀司 (50153804)
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  • 53.  MIYAMOTO Masahiko (30125356)
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  • 110.  NAGOYA Hajime
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