TAKANO Kyoichi 高野恭一

Researcher Number	10011678
External Links
Affiliation (based on the past Project Information) *help	2008 – 2011: 青山学院大学, 理工学部, 教授 1986 – 2006: 神戸大学, 理学部, 教授
Review Section/Research Field	Principal Investigator 解析学 / Global analysis / Basic analysis / Global analysis Except Principal Investigator 解析学 / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Geometry / Global analysis / 代数学・幾何学 / Algebra / Global analysis
Keywords	Principal Investigator 初期値空間 / ガルニエ系 / パンルヴェ方程式 / 合流操作 / パンルヴェ系 / 合流型超幾何関数 / パンルヴェ性 / シンプレクティック構造 / ハミルトン構造 / 定義多様体 … More Except Principal Investigator 粘性解 / 可積分系 / 超幾何微分方程式 / 超幾何関数 / 初期値空間 / ベックルント変換 / Painleve equation / パンルヴェ方程式 / パンルベ方程式 / モジュライ空間 / 配置空間 / パーコレーション / Painleve方程式 / hypergeometric system / 離散可積分系 / Painleve equations / 合流 / generalized Airy function / 超幾何系 / projective differential geometry / discrete Painleve equation / ガルニエ系 / Grobner basis / 常微分方程式 / configuration space / 一般超幾何関数 / モノドロミー保存変形 / 組み合わせ論 / Glauber dynamics / de Rham cohomology / 組合せ論 / 確率場 / spectral gap / ミラー対称性 / 対称性 / 非線形楕円型方程式 / 合流型超幾何関数 / 射影微分幾何学 / アフィンワイル群対称性 / 箱玉系 / stable parabolic connections / Asymptotic expansion / Monomial ideal / 射影不変量 / 相関関数 / 安定放物接続 / アフィンワイル群 / affine Weyl group symmetry / Ising model / 超幾何方程式 / Grobner deformations / reinforced random walk / GKZ hypergeometric system / 偏微分方程式 / 確率微分方程式 / general hypergeometric function / projective invariant / Grassmann多様体 / affine differential geometry / integrable system / contact geometry / projective submanifold / KP方程式 / 代数幾何学符号 / ウイナー・ホップ方程式 / イジングモデル / space of initial value / 指標多様体 / 2次体 / Backlund Trqnsformation / エルゴード理論 / 正則グラフ / 接触幾何学 / confluent hypergeometric function / ホイヘンスの原理 / フーリェ積分作用素 / Groebner basis / 代数解 / parabolic differential equations / エアリー関数 / 楕円パンルヴェ方程式 / q-Painleve'方程式 / Kummerの超幾何 / ウィナー・ホップ方程式 / Ordinary Differential Equations / カラビ=ヤウ多様体 / cohomological intersection number / パンルベ系 / 連分数 / アファイン幾何学 / 解の爆発 / 超幾何函数解 / Hadamard coefficients / 非アーベル的類体論 / hypergeometric equation / モジュラー群 / conformal gauge transform / グレプナ基底 / 線叢 / 放物型微分方程式 / 隣接関係式 / Twistor Theory / 計量的主要部 / 変曲点 / Riemann-Hilbert correspondencec / リンク / de Rham Theory / Weyl group / 結び目の理論 / 完全非線形楕円型偏微分方程式 / 超離散 / 非線形モノドロミー / 結晶基底 / 調和写像 / Abstract Differential Equations / 双有理表現 / GKZ 超幾何系 / 確率制御 / intersection matrix / Nonliear CIS / monodromy manifold / 不変確率測度 / twisted cohomology / Macdonald polynomial / 臨界点 / unknotting number / 非線完全積分可能系 / イジング模型 / フーリエ積分作用素 / 行列式 / 多変数特殊関数 / 楕円超幾何函数 / K3曲面 / 有理楕円曲面 / reflection groups / リッカチ型特殊解 / 力学系 / 結び目解消数 / 離散化と超離散化 / 化積分系 / polyhedral harmonics / 大域解の存在 / Twistor理論 / Painleve equationsc / spherical function / First passage percolation / blow-up of solutions / causal domain / 非線型完全積可能系 / 三次曲面 / 非線型完全積分可能系 / 同点値 / 複素力学系 / 因果的領域 / 代数関数解 / モノドロミー / モノドロ〓群 / モデュライ空間 / 保型形式 / 多面体調和関数 / 変分問題 / line congruence / 非線形方程式 / Spaces of Initial Values / パンルヴェ系 / Garnier系 / chaos / 合流型超幾何函数 / 離散ソリトン / 戸田方程式 / ハミルトン構造 / Gauss-Manin系 / ワイル群 / Bethe仮説 / partial differential equations / Grobner diformation / ergodic theory / モジュラー曲面 / KKR対応 / radial solution / general Schlesinger system / Mathematical Physics / q-KP方程式 / Grolner basis / 捩れコホモロジー群 / Airy関数 / ハミルトン力学系 / 鏡映群 / モジュライ理論 / ベックルント変換群 / q-Painleve方程式 / 交点数 / Rogular singulasity / 全域解の一意性 / エントロピー / 非線形楕円型偏微分方程式 / Veronese variety / symmetries / fluctuation / 相転移モデル / ソリトンセルオートマトン / 8一頂点模型 / 関数微分方程式 / projective invariants / ordinary differential equations / confluence / 接続問題 / integrable systems / 非線形完全積分可能系 / 超幾何積分 / Generalized anti-self-dual Yang Mills / 再帰性 / modular groups / Hermite / 一般超幾何 / 楕円型微分方程式 / ベクトル束のモジュライ空間 / 双称形型式 / q差分パンルベ方程式 / character varieties / critical point / birational representation / accessory parameter / existence of global solutions / 微積分方程式 / Hypergeometric Functions / 双線形形式 / 交点理論 / 向きつきパーコレーション / パンルヴェ階層 / Integrable system / 射影微分幾何 / 球対称性 / Macdonald多項式 / Linear Equations / 空隙 / elliptic hypergeometric functions / Ward対応 / Neutral Type / complex dynamical systems / GK2型超幾何微分方程式系 / GKZ超幾何系 / Gauss Manin系 / ロ-加群 / 一般化Airy関数 / Huygens operator / Standard pairs / Bilinear Forms / 一般反自己双対Yang-Mills方程式 / コントゥアー / 導関数の評価 / 基本群の表現 / 完全積分可能素 / 計算環論 / q-類似 / グラウバーダイナミックス / Mirror 対称性 / ハシルトンーヤコビ方程式 / Painlev'e方程式 / 発展方程式 / metric principal part / 数理物理学 / モーメント / space of initial conditions / hyperbolic differential equations / Gauss超幾何 / 楕円曲線 / カラビ-ヤウ多様体 / 逆分岐問題 / p-Laplace方程式 / Calabi-Yau manifolds / アファイン極小性 / セルバーグの跡公式 / 境界条件 / 対称空間上の調和解析 / monodromy preserving deformation / de Rham理論 / Mirror対称性 / series sohition / regular graph / アダマール係数 / 球対称解 / 一般Schlesinger系 / グロモフ-ウイッテン不変量 / Partial Differential Equations / tail term of elementary solution / 離散パンルヴェ方程式 / hypergeometric function / percolation / special solutions of Riccati type / モノドロミー多様体 / 正規座標系 / Affine Weyl groups / 安定放物型接続 / グラスマン多様体 / Functional Differential Equations / moduli spacesc / ultra-discretization / コンツゥアーの収縮 / qパンルヴェ方程式 / ホイヘンス作用素 / マクドナルド多項式 / 結び目のcongruence / moments / アフィンリー環 / 計算機言語 / モノドロミー群 / 楕円超幾何関数 / 離散パンルベ方程式 / Backlund変換 / カオス / Mirror Symmetry / Hesse geometry / ヘッケ作用素 / generalized Airy fanction / セルバーグのゼーター関数 / GKZ hypergesmetric system / Garnier systems / 抽象的微分方程式 / シューア関数 / KKR写像 / Asyonptotic expansion / 特異摂動 / Grassmannian / Gromov-Witten invariants / 湯川カップリング / コントゥアーの収縮 / 自己補強的ランダムウォーク / 双曲型微分方程式 / GKZ Hypergeometric System / 障害物問題 / shrink of contours / リエナール方程式 / hypergeometric equations / Painleve system / 射影部分多様体 / 基本解の末尾 / Volune polynonrid / moduli spaces / スペクトルギャップ / アクセサリーパラメータ / 中立型 / トロピカル / generating function / Backlund transformation / 有理解 / 確率ゲーム / coincidence values / 共形ゲージ変換 / 球函数 / カラビ・ヤウ多様体 / Moduli spaces of Vector Bundles / 超離散化 / 安定放物束 / 数理物理 / プレポテンシャル / Schlesinger系 / 重さ1の保型形式 / 楕円差分方程式 / 変分不等式 / グロモフ・ウイッテン不変量 / Rational Elliptic Surfaces / elliptic differential equations / q超幾何函数 / intersection theory / 固有値問題 / ベックルンド変換 / 双線形型式 / トロピカル化 / 接触幾何系 / 楕円パンルベ方程式 / Fourier integral operators / 相関不等式 / Okubo方程式 / 一般反自己双対Yang-Mills / Radon変換 / Kac-Moodyリー環 / ベクトル波 / ハミルトニアン / 超幾何函数 / リーマン・ヒルベルト対応 Less

Studies on Painleve or Garnier systems by means of their phase spacesPrincipal Investigator
- Principal Investigator
  
  TAKANO Kyoichi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Aoyama Gakuin University
Box-ball systems and combinatorial Bethe ansatz
- Principal Investigator
  
  YAMADA Yasuhiko
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kobe University
Geometry and global analysis of Pailneve equations
- Principal Investigator
  
  IWASAKI Katsunori
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu University
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
Comprehensive Research of Hypergeometric and Painleve Systems
- Principal Investigator
  
  NOUMI Masatoshi
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Defining manifolds and symmetries of nonlinear special functions in several variablesPrincipal Investigator
- Principal Investigator
  
  TAKANO Kyochi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kobe 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
Comprehensive Studies on Hypergeometric and Painleve Systems
- Principal Investigator
  
  NOUMI Masatoshi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Painleve equations and integrable systems
- Principal Investigator
  
  YAMADA Yasuhiko
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Faculty of Science, Kobe Univ.
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
非線形差分系の実験的・理論的研究Principal Investigator
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
幾何学における超幾何系の新展開
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
Research on Elementary Solutions to Partial Differential Equations
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  TOHOKU UNIVERSITY
Grobner asymptotic expansion for regular holononic systems
- Principal Investigator
  
  IKEDA Hiroshi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Global Analysis of Painleve EquationsPrincipal Investigator
- Principal Investigator
  
  TAKANO Kyoichi
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Global analysis
- Research Institution
  Kobe University
新しい研究分野「超幾何系」を組織するための企画調査
- Principal Investigator
  
  NOUMI Masatoshi
- Project Period (FY)
  1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Study of geometric structures on projective submanifolds in view of differential equations
- Principal Investigator
  
  SAKAI Takeshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
Synthetic Research on nonlinear complete integrable systems and combinatorics
- Principal Investigator
  
  OKAMOTO Kazuo
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
Research on Periods of Algebraic Varieties and Hypergeometric Functions
- Principal Investigator
  
  SAITO Masa-hiko
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Analysis of Critical Phenomena in Random Systems
- Principal Investigator
  
  HIGUCHI Yasunari
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Special Functions in Many Variables
- Principal Investigator
  
  NOUMI Masatoshi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kobe University
パンルヴェ系・ガルニエ系の初期値空間Principal Investigator
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
Synthetic study on differential equations
- Principal Investigator
  
  AGEMI Rentaro
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  HOKKAIDO UNIVERSITY
Systems of Holonomic Differential EquationsPrincipal Investigator
- Principal Investigator
  
  TAKANO Kyoichi
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kobe University
多変数合流型超幾何関数Principal Investigator
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
On canonically induced geometric structures on submaniflds and the equivalence problem
- Principal Investigator
  
  SASAKI T
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
一般合流超幾何関数の研究
- Principal Investigator
  
  KIMURA Hironobu
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  The University of Tokyo
配置空間上の超幾何方程式およびq-アナログの研究
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
非線形現象に現れる微分方程式の解の構造の研究
- Principal Investigator
  
  相澤貞一
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
テーダ関数とその一般化の満たす微分および関数方程式の研究
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
正値2次形式の表現数についての代数的・解析的研究
- Principal Investigator
  
  味村良雄
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kobe University
確率場の解析的研究
- Principal Investigator
  
  樋口保成
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Special Function of Several VariablesPrincipal Investigator
- 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
複素領域の微分方程式・差分方程式の研究Principal Investigator
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
Comprehensive Researches of Differential Equations
- Principal Investigator
  
  TANABE Hiroki
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Osaka University
完全非線形楕円型偏微分方程式の境界値問題の研究
- Principal Investigator
  
  相沢貞一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
完全非線形2階偏微分方程式の粘性解と変分問題の研究
- Principal Investigator
  
  山田直記
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
多様体上の微分方程式の解析Principal Investigator
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
完全非線形楕円型偏微分方程式の研究
- Principal Investigator
  
  相沢貞一
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
数理物理学に現われる確率場の総合的研究
- Principal Investigator
  
  樋口保成
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
確率微分方程式と制御理論への応用
- Principal Investigator
  
  西尾真喜子
- 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
  Kobe University
調和解析と整数論
- Principal Investigator
  
  平松豊一
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kobe University
確率ゲームと関連した非線形楕円型偏微分方程式の研究
- Principal Investigator
  
  相沢貞一
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University

All 2012 2011 2010 2007 2006 2005 2004 2002 2001

All Journal Article Presentation

[Journal Article] Confluence of the general hypergeometric system2006
- Author(s)
  H.Kimura, K.Takano
- Journal Title
  
  Tohoku Math. Journal 58
  
  Pages: 1-31
- 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 systems2006
- Author(s)
  H.Kimura, K.Takano
- Journal Title
  
  Tohoku Math.Journal 58
  
  Pages: 1-31
- Data Source
  KAKENHI-PROJECT-15340058
[Journal Article] On the confluences of general hypergeometric systems2006
- Author(s)
  H., Kimura, T., Takano
- Journal Title
  
  Tohoku Math. J 58
  
  Pages: 1-31
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340049
[Journal Article] Confluence of the general hypergeometric systems2006
- Author(s)
  H.Kimura, K.Takano
- Journal Title
  
  Tohoku Math. Journal 58
  
  Pages: 1-31
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340058
[Journal Article] On the confluences of general hypergeometric systems2006
- Author(s)
  H.Kimura, K.Takano
- Journal Title
  
  Tohoku Math.J. 58
  
  Pages: 1-31
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340049
[Journal Article] On confluences of general hypergeometric system2006
- Author(s)
  H.Kimura, K.Takano
- Journal Title
  
  Tohoku Mathematical Journal 58・1
  
  Pages: 1-31
- Data Source
  KAKENHI-PROJECT-16340049
[Journal Article] Hierarchy of Backlund transformation groups of the painleve systems2004
- Author(s)
  M.Suzuki, N.Tahara, K.Takano
- Journal Title
  
  Journal of Mathematical Society of Japan 56
  
  Pages: 1221-1232
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440054
[Journal Article] Hierarchy of Backlund .transformation groups of the Painleve systems2004
- Author(s)
  M., Suzuki, N., Tahara, K., Takano
- Journal Title
  
  J. Math. Soc. Japan 56
  
  Pages: 1221-1232
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340049
[Journal Article] Hierarchy of Backlund transformation groups of the Painleve systems2004
- Author(s)
  M.Suzuki, N.Tahara, K.Takano
- Journal Title
  
  J.Math.Soc.Japan 56
  
  Pages: 1221-1232
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340049
[Journal Article] Backlund transformations and the manifolds of Painleve systems2002
- Author(s)
  M.Noumi, K.Takano, Y.Yamada
- Journal Title
  
  Funkcialaj Ekvacioj 45
  
  Pages: 237-258
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440054
[Journal Article] Confluence processes in defining manifolds for Painleve systems2001
- Author(s)
  K.Takano
- Journal Title
  
  Tohoku Mathematical Journal 53
  
  Pages: 319-335
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440054
[Presentation] 合流過程におけるパンルヴェ性の保存について2012
- Author(s)
  高野恭一
- Organizer
  超幾何方程式2012
- Place of Presentation
  神戸大学滝川会館
- Year and Date
  2012-01-07
- Data Source
  KAKENHI-PROJECT-21540224
[Presentation] 2変数Garnier系の相空間の合流2011
- Author(s)
  高野恭一
- Organizer
  超幾何方程式2011
- Place of Presentation
  神戸大学理学部
- Year and Date
  2011-01-06
- Data Source
  KAKENHI-PROJECT-21540224
[Presentation] Completeness of phase spaces2010
- Author(s)
  高野恭一
- Organizer
  日本・ブルガリア数学交流会
- Place of Presentation
  日本大学理工学部駿河台校舎
- Year and Date
  2010-11-23
- Data Source
  KAKENHI-PROJECT-21540224
[Presentation] ガルニエ系の相空間2007
- Author(s)
  高野恭一
- Organizer
  関数方程式におけるモデリングと複素解析
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-11-07
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340049
[Presentation] Phase spaces of Garnier systems2007
- Author(s)
  K., Takano
- Organizer
  Modelings and complex analysis for Functional equations
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2007-11-07
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340049
[Presentation] Completion of phase spaces of certain differential equations and Painleve property2005
- Author(s)
  K.Takano
- Organizer
  Forschungsseminar Funktionanalysis und Differentialgleichungen
- Place of Presentation
  Universitat Ulm,Germany
- Year and Date
  2005-08-24
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340049
[Presentation] Completion of phase spaces of certain differential equations and Painleve property2005
- Author(s)
  K., Takano
- Organizer
  Forchungsseminar Funktionanalysis and Differentialgleichungen
- Place of Presentation
  Univertitat Ulm, Germany
- Year and Date
  2005-08-24
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340049

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TAKANO Kyoichi 高野 恭一

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Studies on Painleve or Garnier systems by means of their phase spacesPrincipal Investigator

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Defining manifolds and symmetries of nonlinear special functions in several variablesPrincipal Investigator

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非線形差分系の実験的・理論的研究Principal Investigator

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Global Analysis of Painleve EquationsPrincipal Investigator

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TAKANO Kyoichi 高野恭一