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KOHNO Mitsuhiko  河野 實彦

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… Alternative Names

河野 寛彦  コオノ ミツヒコ

河野 実彦  コウノ ミツヒコ

河野 實彦

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Researcher Number 30027370
Other IDs
Affiliation (based on the past Project Information) *help 1986 – 2005: Faculty of Science, Kumamoto University, 理学部, 教授
1986: 熊本大, 理学部, 教授
Review Section/Research Field
Principal Investigator
解析学 / Global analysis
Except Principal Investigator
解析学 / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Algebra / Global analysis
Keywords
Principal Investigator
接続問題 / モノドロミ-群 / 数式処理 / ストークス現象 / 超幾何微分方程式系 / 超幾何関数 / モノドロミー群 / パフィアン系 / ドラム・コホモロジー / 超超越関数 … More / 大域的理論 / ガンマ関数の拡張 / 接続関係式 / 大域的問題 / スト-クス現象 / 近接関係 / 合流型超幾何関数 / 放物型偏微分方程式 / ハルナック不等式 / ローレンツ多様体 / フックス型微分方程式 / 微分方程式の既約性 / S-N分解 / 形式的巾級数解 / 合流操作 / C^*-力学系 / 大域的解析 / 線形差分方程式(系) / プサイ関数の積分 / 漸近展開 / 多変数差(微)分方程式系 / プサイ関数の拡張 / プサイ関数積分系列 / 差分方程式 / 差分方程式の大域的解析 / 特殊関数 / プサイ関数の積分系列 / p-調和関数 / エアリー関数の拡張 / 微分方程式の大域的研究 / パフィアン偏微分方程式系 … More
Except Principal Investigator
de Rham cohomology / 一般超幾何関数 / homology / 超幾何関数 / confluence / rigid local system / accessory parameter / Grassmann多様体 / Airy関数 / hypergeometric function / twisted homology / twisted cohomology / hypergeometric / de Rham theory / 交点理論 / general hypergeometric function / 合流 / generalized Airy function / 楕円型方程式 / ガウス過程 / 標準表現 / 合流型超幾何関数 / special function / Lie algebra / regular element / stratification / 超平面配置 / arrangement of hyperplanes / cohomology / flat basis / 交点数 / intersection theory / Painleve方程式 / モノドロミー保存変形 / Painleve equation / 微分Galois理論 / リ-pseuclo群 / 微分ガロア理論 / 代数微分方程式 / 非線形 / 力学系 / 変分法 / 峠の補題 / パレ-スメ-ル条件 / エルゴ-ト性 / 数式処理 / マルチン境界 / マルチン核 / 正値解の構造 / シュレ-ディンガ-方程式 / 楕円型偏微分方程式 / 放物型偏微分方程式 / 分離原理 / 一意性 / 特殊関数 / 多様体 / 容量 / holondmic / 鞍部関法 / 有限単純群 / 直既約加群 / 超幾何微分方程式 / Gauss過程 / 新生過程 / 両性核Hilbert空間 / ガウス型マルチンゲール / 微分方程式系の幾何的研究 / 射影微分幾何 / 共形接続 / K3曲面 / 青本・ゲリファントの超幾何微分方程式系 / バーコフ・シュレジンジャーの標準型 / 無元次元微分ガロワ群 / ツイスト・ホモロジー / ツイスト・コホモロジー / 合流操作 / モノドロミ-群 / ストークス現象 / 接続公式 / モノドロミー群 / 多変数超幾何関数 / 多変数合流型超幾何関数 / ストークス係数 / ツイステッド・サイクル / 隣接関係式 / 正準構造 / confluent HG function / confluce process / monodromy group / Stokes phenomenon / connection coefficient / conomology / holonomic系 / 鞍部点法 / 不確定特異性 / fwisted homology / accessary parameter / 振動積分 / 外積構造 / Vanishing cycle / confluent hypergeometric function / irrgular singularity / de Rham 理論 / ガウス超幾何関数 / 二次関係式 / ガンマ関数 / 二次関形式 / Airy / Okubo system / Gauss hypergeometric / quadratic relation / 初期値空間 / アクセサリーパラメータ / Gauss Manin系 / generating function / Veronese variety / cohomological intersection number / intersection matrix / generalized Airy fanction / Gauss超幾何 / Kummerの超幾何 / Hermite / Painlev'e方程式 / Garnier系 / space of initial conditions / rigid局所系 / 微分方程式の変形 / アクセサリー・パラメター / 超幾何変数 / 積分表示 / deformation of differential equations / Twistor理論 / 一般反自己双対Yang-Mills / 一般Schlesinger系 / de Rham理論 / 一般化Airy関数 / 一般反自己双対Yang-Mills方程式 / Radon変換 / Schlesinger系 / Ward対応 / Gauss-Manin系 / Okubo方程式 / Twistor Theory / Generalized anti-self-dual Yang Mills / general Schlesinger system / monodromy preserving deformation / de Rham Theory / イノベイション / ブラウン運動 / ホワイトノイズ / Gaussian processes / canonical representation / innovation / Bruwnian motoon Less
  • Research Projects

    (25 results)
  • Research Products

    (3 results)
  • Co-Researchers

    (33 People)
  •  General hypergeometric functions and geometry of the space of arrangements of points with infinitesimal neighborhoods

    • 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

    • 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
  •  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
  •  Integrated research of the general hypergeometric systems and nonlinear integrable systems

    • 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

    • 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
  •  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 variables

    • 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
      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

    • 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
  •  Toward a unified theory special functions of several variables

    • 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

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kumamoto University
  •  微分方程式の数式処理システムの研究Principal Investigator

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  楕円型・放物型偏微分方程式の多面的研究

    • Principal Investigator
      村田 實
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  微分方程式の解の構造の研究Principal Investigator

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  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
  •  2階楕円型方程式の正値解の構造

    • Principal Investigator
      村田 實
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  Galois理論の一般化とその解析学への応用

    • Principal Investigator
      梅村 浩
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kumamoto University
  •  非線形楕円型微分方程式とその周辺

    • Principal Investigator
      吉田 清
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  無限次元微分Galois理論

    • Principal Investigator
      梅村 浩
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kumamoto University
  •  パフィアン系の解の構造の研究Principal Investigator

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  微分方程式系の幾何的研究

    • Principal Investigator
      佐々木 武
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kumamoto University
  •  確率過程論における解析的方法

    • Principal Investigator
      櫃田 倍之
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kumamoto University
  •  微分方程式の大域的研究Principal Investigator

    • Principal Investigator
      河野 実彦
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  Representation of stochastic processes and the limit theorem.

    • Principal Investigator
      HITSUDA Masuyuki
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Faculty of Science, Kumamoto University

All 2006 2001

All Journal Article

  • [Journal Article] A certain reduction of a single differential equation to a system of differential equations2006

    • Author(s)
      K.Ando, M.Kohno
    • Journal Title

      Kumamoto J.Math. 19

      Pages: 99-114

    • Data Source
      KAKENHI-PROJECT-15340058
  • [Journal Article] Integrals of Psi-function2001

    • Author(s)
      M.Kohno
    • Journal Title

      J.Difference Equations and Applications 7

      Pages: 701-716

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • [Journal Article] Integrals of Psi-function2001

    • Author(s)
      M.Kohno
    • Journal Title

      J.Difference Eq.Appl. 7

      Pages: 701-716

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440057
  • 1.  HARAOKA Yoshishige (30208665)
    # of Collaborated Projects: 15 results
    # of Collaborated Products: 0 results
  • 2.  KIMURA Hironobu (40161575)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 3.  OKA Yukimasa (50089140)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 4.  TAKADA Yoshikazu (70114098)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  YOSHIDA Kiyoshi (80033893)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 6.  前橋 敏之 (90032804)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 7.  HITSUDA Masuyuki (50024237)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 8.  梅村 浩 (40022678)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  神島 芳宣 (10125304)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  YAMAKI Hiroyoshi (60028199)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 11.  佐々木 武 (00022682)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 12.  村田 實 (50087079)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  TAKANO Kyoichi (10011678)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  OKAMOTO Kazuo (40011720)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  YAMADA Kotaro (10221657)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  FURUSHIMA Mikio (00165482)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  相川 弘明 (20137889)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  菱田 俊明 (60257243)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  MISAWA Masashi (40242672)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  足立 俊明 (60191855)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  KAMIMURA Yutaka (50134854)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  IWASAKI Katsunori (00176538)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  吉田 知行 (30002265)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  渡辺 アツミ (90040120)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  神本 丈 (90301374)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  YOSHIDA Masaaki (30030787)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  MAJIMA Hideyuki (50111456)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  IKEDA Kaoru (40232178)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  OHWAKI Shin-ichi (50040506)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  KIMURA Hironobu (40161517)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  INOUE Hisao (40145272)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  TABABE Susumu (90432997)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  OSHIMA Yoichi (20040404)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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