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 / 合流型超幾何関数 / パンルヴェ系 / 合流操作 / 超幾何微分方程式 / シンプレクティック構造 / ハミルトン構造 / 定義多様体 … More / パンルヴェ性 / Painlcae' equations / fixed singular points / canonical transformation / Grobner basis / holonomic system / contigu relation / optimal control / sperical Zーdceign / 非線形モノドロミ- / 特異性伝幡 / ベルマン方程式 / 粘性解 / イ-ジング模型 / 合流型超幾何微分方程式 / (コ)ホモロジー / ロンスキアン / パンルヴェ関数 / 正準座標系 / 非線形モノドロミ-群 / シンプレクティック多様体 / 正準方程式系 / 離散的パンルヴェ方程式 / 連続極限 / 葉層構造の一様性 / symplectic構造 / パンルヴェ補助関数 / 関数方程式の大域理論 / 関数論 / ガル二エ系 / 相空間 / 解析学 / 関数方程式論 / 超幾何関数 / ツイスト・ホモロジー / ツイスト・コホモロジー / 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 / hypergeometric function / confluent HG function / twisted homology / twisted cohomology / confluce process / monodromy group / Stokes phenomenon / connection coefficient / パンルヴェ初期値空間 / パンルヴェ系の既約性 / 古典関数 / 量子群 / q-超幾何関数 / パーコレーション / 射影等質空間 / 射影等質曲面 / ホロノミック系 / q-差分方程式 / リー環的対称性 / confluent hypergeometric function / space of initial values of Painleve / irreducibility of Painleve / classical function / quantum group / q-hypergeometric function / percolation / projective homogeneous space / 高階パンルヴェ方程式 / アフィン・ワイル群対称性 / ベックルント変換群 / 完全WKB解析 / シュヴァルツ写像 / 逆分岐問題 / ドリンフェルト・ソコロフ階層 / フロベニウス多様体 / 完全WKB法 / WKB法 / バーコフの標準形 / ゲーゲンバウアー多項式 / Painleve equations / Higher order Painleve equations / Garnier systems / Affine Weyl group symmetries / Backlund transformations / Spaces of initial conditions / Hamiltonian structures / Exact WKB analysis / 退化ガルニエ系 / ベックルント変換 / 合流 / リーマン・ヒルベルト対応 / ベックルント変換の合流 / 差分パンルヴェ方程式 / 超幾何関数解 / 非線形モノドロミー / モノドロミー空間 / 超幾何函数解 / 捻れサイクル / 特殊古典解 / 行列式表示 / 岡本・パンルヴェ対 / エアリ関数 / Garnier system / Degenerate Garnier system / Painleve equation / Defining manifold / Space of initial conditions / Backlund transformation / Confluence / Riemann-Hilbert correspondence … More Except Principal Investigator 粘性解 / 超幾何微分方程式 / 超幾何関数 / 可積分系 / パンルベ方程式 / パンルヴェ方程式 / ベックルント変換 / 初期値空間 / Painleve equation / パーコレーション / 配置空間 / モジュライ空間 / 合流 / 超幾何系 / Painleve方程式 / 離散可積分系 / hypergeometric system / Painleve equations / generalized Airy function / 相関関数 / 合流型超幾何関数 / 非線形楕円型方程式 / 超幾何方程式 / 射影微分幾何学 / 箱玉系 / 組合せ論 / 対称性 / 確率微分方程式 / 確率場 / 常微分方程式 / 偏微分方程式 / 射影不変量 / projective invariant / Grassmann多様体 / configuration space / projective differential geometry / affine differential geometry / contact geometry / integrable system / ガルニエ系 / アフィンワイル群 / 組み合わせ論 / ミラー対称性 / Ising model / Glauber dynamics / spectral gap / reinforced random walk / Grobner deformations / Grobner basis / Monomial ideal / GKZ hypergeometric system / Asymptotic expansion / アフィンワイル群対称性 / affine Weyl group symmetry / discrete Painleve equation / 一般超幾何関数 / de Rham cohomology / モノドロミー保存変形 / general hypergeometric function / 安定放物接続 / stable parabolic connections / 導関数の評価 / 障害物問題 / 完全非線形楕円型偏微分方程式 / 特異摂動 / 微積分方程式 / 8一頂点模型 / イジング模型 / モノドロミー / 計算機言語 / 2次体 / 連分数 / リンク / K3曲面 / 相転移モデル / モノドロ〓群 / 結び目のcongruence / 計算環論 / 隣接関係式 / ハミルトニアン / 射影微分幾何 / q-類似 / p-Laplace方程式 / モジュライ理論 / 超幾何積分 / 接触幾何系 / パンルヴェ系 / Backlund変換 / 調和写像 / 結晶基底 / KKR写像 / Bethe仮説 / KKR対応 / ベックルンド変換 / q-Painleve'方程式 / q-Painleve方程式 / 重さ1の保型形式 / セルバーグの跡公式 / 非アーベル的類体論 / セルバーグのゼーター関数 / 対称空間上の調和解析 / ヘッケ作用素 / 非線形楕円型偏微分方程式 / 全域解の一意性 / 確率制御 / 確率ゲーム / 変分不等式 / ハシルトンーヤコビ方程式 / 非線形方程式 / 保型形式 / 結び目の理論 / リエナール方程式 / 中立型 / 関数微分方程式 / 数理物理学 / 抽象的微分方程式 / 接続問題 / 固有値問題 / 変分問題 / 数理物理 / 発展方程式 / Ordinary Differential Equations / Linear Equations / Hypergeometric Functions / Neutral Type / Functional Differential Equations / Partial Differential Equations / Mathematical Physics / Abstract Differential Equations / 正則グラフ / パンルベ系 / 球対称性 / 結び目解消数 / グレプナ基底 / 変曲点 / アファイン極小性 / モジュラー曲面 / ロ-加群 / 球対称解 / regular graph / Painleve system / radial solution / unknotting number / Groebner basis / 楕円型微分方程式 / 放物型微分方程式 / 双曲型微分方程式 / フーリエ積分作用素 / 大域解の存在 / 解の爆発 / フーリェ積分作用素 / ordinary differential equations / partial differential equations / elliptic differential equations / parabolic differential equations / hyperbolic differential equations / Fourier integral operators / existence of global solutions / blow-up of solutions / 超幾何函数 / マクドナルド多項式 / 球函数 / グラスマン多様体 / 合流型超幾何函数 / Macdonald多項式 / hypergeometric function / Macdonald polynomial / spherical function / Grassmannian / confluent hypergeometric function / 射影部分多様体 / 接触幾何学 / アファイン幾何学 / 線叢 / Hesse geometry / projective submanifold / projective invariants / line congruence / 非線型完全積分可能系 / 双線形型式 / 非線型完全積可能系 / 双称形型式 / 非線完全積分可能系 / 双線形形式 / 完全積分可能素 / 多変数特殊関数 / 代数解 / 楕円曲線 / パンルヴェ階層 / 非線形完全積分可能系 / 代数幾何学符号 / シューア関数 / KP方程式 / 離散化と超離散化 / ソリトンセルオートマトン / Integrable system / Nonliear CIS / Garnier systems / Bilinear Forms / Affine Weyl groups / Backlund Trqnsformation / symmetries / Mirror対称性 / GKZ超幾何系 / カラビ-ヤウ多様体 / グロモフ-ウイッテン不変量 / 有理楕円曲面 / ベクトル束のモジュライ空間 / Mirror 対称性 / GKZ 超幾何系 / カラビ・ヤウ多様体 / グロモフ・ウイッテン不変量 / プレポテンシャル / ベクトル波 / 化積分系 / 湯川カップリング / GK2型超幾何微分方程式系 / カラビ=ヤウ多様体 / Mirror Symmetry / GKZ Hypergeometric System / Calabi-Yau manifolds / Gromov-Witten invariants / Rational Elliptic Surfaces / Spaces of Initial Values / Moduli spaces of Vector Bundles / グラウバーダイナミックス / スペクトルギャップ / 臨界点 / イジングモデル / コンツゥアーの収縮 / 自己補強的ランダムウォーク / コントゥアーの収縮 / First passage percolation / fluctuation / コントゥアー / 境界条件 / 再帰性 / 向きつきパーコレーション / 相関不等式 / critical point / percolation / shrink of contours / 計量的主要部 / 因果的領域 / アダマール係数 / 基本解の末尾 / 同点値 / 共形ゲージ変換 / モーメント / ホイヘンス作用素 / 正規座標系 / 空隙 / ホイヘンスの原理 / metric principal part / causal domain / Hadamard coefficients / tail term of elementary solution / coincidence values / conformal gauge transform / moments / Huygens operator / Asyonptotic expansion / Grobner diformation / GKZ hypergesmetric system / Grolner basis / Volune polynonrid / Rogular singulasity / series sohition / Standard pairs / ハミルトン構造 / hypergeometric equation / 離散パンルベ方程式 / ワイル群 / 双有理表現 / 超離散 / q-KP方程式 / 楕円パンルベ方程式 / トロピカル / 超離散化 / トロピカル化 / 離散ソリトン / Kac-Moodyリー環 / q差分パンルベ方程式 / 行列式 / 戸田方程式 / 有理解 / アフィンリー環 / integrable systems / Backlund transformation / Weyl group / birational representation / ultra-discretization / space of initial value / 交点理論 / アクセサリーパラメータ / Gauss Manin系 / Airy関数 / 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 / 交点数 / space of initial conditions / confluence / intersection theory / accessory parameter / 多面体調和関数 / 鏡映群 / 捩れコホモロジー群 / モジュラー群 / 安定放物束 / エアリー関数 / モノドロミー群 / ウィナー・ホップ方程式 / ウイナー・ホップ方程式 / 逆分岐問題 / hypergeometric equations / polyhedral harmonics / reflection groups / moduli spaces / twisted cohomology / modular groups / 離散パンルヴェ方程式 / 楕円超幾何函数 / モノドロミー多様体 / リッカチ型特殊解 / 一般超幾何 / 超幾何函数解 / qパンルヴェ方程式 / q超幾何函数 / 楕円パンルヴェ方程式 / 楕円超幾何関数 / 代数関数解 / 楕円差分方程式 / elliptic hypergeometric functions / monodromy manifold / special solutions of Riccati type / 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 / リーマン・ヒルベルト対応 / モデュライ空間 / 指標多様体 / 複素力学系 / エルゴード理論 / カオス / 不変確率測度 / エントロピー / 力学系 / 三次曲面 / 安定放物型接続 / 基本群の表現 / 非線形モノドロミー / ベックルント変換群 / ハミルトン力学系 / Painleve equationsc / Riemann-Hilbert correspondencec / moduli spacesc / character varieties / complex dynamical systems / ergodic theory / chaos 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
- 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 confluences of general hypergeometric systems2006
- Author(s)
  H., Kimura, T., Takano
- Journal Title
  
  Tohoku Math. J 58
  
  Pages: 1-31
- NAID
  110004308599
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340049
[Journal Article] On the confluences of general hypergeometric systems2006
- Author(s)
  H.Kimura, K.Takano
- Journal Title
  
  Tohoku Math.J. 58
  
  Pages: 1-31
- NAID
  110004308599
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- 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
- NAID
  110004308599
- Data Source
  KAKENHI-PROJECT-15340058
[Journal Article] On confluences of general hypergeometric system2006
- Author(s)
  H.Kimura, K.Takano
- Journal Title
  
  Tohoku Mathematical Journal 58・1
  
  Pages: 1-31
- NAID
  110004308599
- 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
- NAID
  110004308599
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340058
[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
- NAID
  10013753577
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- 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
- NAID
  10013753577
- 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
- NAID
  10013753577
- Description
  「研究成果報告書概要(欧文)」より
- 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] 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
  神戸大学滝川学術記念会館
- 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
  超幾何方程式研究会 2011
- Place of Presentation
  神戸大学理学部
- Year and Date
  2011-01-06
- 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