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Mimachi Katsuhisa  三町 勝久

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MIMACHI Katsuhisa  三町 勝久

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Researcher Number 40211594
Other IDs
Affiliation (Current) 2025: 大阪大学, 大学院情報科学研究科, 教授
Affiliation (based on the past Project Information) *help 2025: 大阪大学, 大学院情報科学研究科, 教授
2022 – 2023: 大阪大学, 大学院情報科学研究科, 教授
2019 – 2021: 大阪大学, 情報科学研究科, 教授
2016: 大阪大学, 大学院情報科学研究科, 教授
2014 – 2015: 大阪大学, 情報科学研究科, 教授 … More
2013: 東京工業大学, 大学院・理工学研究科, 教授
2012 – 2013: 東京工業大学, 理工学研究科, 教授
2007 – 2011: Tokyo Institute of Technology, Graduate School of Science, Professor
2007: 東京工業大学, 理工学研究科, 教授
2006: Tokyo Institute of Technology, Grad.school of Sci. and Tech., Professor., 大学院理工学研究科, 教授
2000 – 2005: 東京工業大学, 大学院・理工学研究科, 教授
2001: 東京工業大学, 理工学研究科, 教授
1999: Kyushu University, Graduate School of Mathematics, Associate Professor, 大学院・数理学研究科, 助教授
1999: 九州大学, 数理学研究科, 助教授
1998: 九州大学, 大学院数理学研究科, 助教授
1995 – 1997: Kyushu Univ., Graduate School of Math., Associ.Prof., 大学院・数理学研究科, 助教授
1994 – 1995: 九州大学, 大学院数理学研究科, 助教授
1992 – 1993: 九州大学, 理学部, 助教授
1989 – 1991: 名古屋大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related / Algebra / Algebra / 解析学
Except Principal Investigator
代数学・幾何学 / Algebra / 解析学 / Algebra / Basic analysis / Geometry … More / Global analysis / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) Less
Keywords
Principal Investigator
超幾何函数 / 複素積分 / 接続問題 / モノドロミー表現 / セルバーグ型積分 / ねじれサイクル / モノドロミー / 交叉数 / 複素解析的線形微分方程式 / 表現論 … More / 一般超幾何函数 / ねじれホモロジー / ねじれ(コ)ホモロジー / 複素解析的微分方程式 / conformal field theory / 共形場理論 / representation theory / Selberg型積分 / フックス型微分方程式 / 既約性 / ジョーンズ多項式 / 積分表示解 / QKZ方程式 / マクドナルド多項式 / 相関函数 / q-差分系 / ロンスキアン / ヤン-バクスター方程式 / q-セルバーグ積分 / 超幾何関数 / Heckman-Opdamの超幾何函数 / Heckman-Opdam超幾何函数 / ファインマン積分 / Erdelyi サイクル / 局所系係数のホモロジー / Lauricellaの超幾何函数 / Appellの超幾何函数 / Erdelyiサイクル / 複素解析的線形微方程式 / resonant condition / zeta regularized products / Jones polynomials / configuration space / Selberg type integral / intersection numbers / twisted cycles / 寺田模型 / q超幾何級数 / 交差数 / ゼータ正規化 / 代数解析 / セルバーグ積分 / 捩れサイクル / 共鳴状態 / 共鳴条件 / ゼータ正規化積 / 配置空間 / zeta function / correlation functions / intersection forms / hypergeometric functiom / complex integrals / twisted homology group / 球函数 / KZ方程式 / ツイストサイクル / 組み紐群 / 岩堀・ヘッケ環 / ゼータ函数 / 共刑場理論 / ゼーダ函数 / 交差形式 / Painleve equation / de Rham theory / Selberg integrals / QKZ equation / Macdonald polynomials / integrals / hypergeometric functions / Hecke環 / de Rham理論 / ハーン多項式 / バーンズ積分 / 双対性 / アスキー・ウィルソン多項式 / 直交多項式 / Mehta積分 / Selberg積分 / Appell / Mehta積分 / ルート系に付随する超幾何函数 / 回路行列 / 超幾何積分 / 多重三角函数 / qラカー多項式 / 量子不変量 / 微分方程式 / 確定特異点型微分方程式 / アクセサリパラメタ / ローリッツェンのF_D函数 / アッペルのF_1函数 / ガウス超幾何函数 / ヘッケ代数 / 積分表示 / 再生核公式 / ダンクル作用素 / 内積値予想 / 有理函数解 / 固有値問題 / Macdonald多項式 / コホモロジー / 局所系 / 動径部分 / 量子展開環 / ラマヌジャンの恒等式 / XXZ模型 / スタンダードモノミアル理論 / 帯球函数 / 量子一般線形群GL_-q(n+1) / 大久保理論 / 量子対称空間 / 一般化超幾何函数 / ガウスマニン系 / q-差分方程式 … More
Except Principal Investigator
配置空間 / 超幾何 / 超幾何関数 / twisted (co) homology / 量子群 / hypergeometric function / hypergeometric / 交点理論 / 黒写像 / KZ方程式 / 表現論 / 交叉理論 / 三次曲面 / 一寸来群 / 又曲構造 / 捩表裏路地群 / 行列式表示 / 一意化 / twisted (co)homology / reflection group / arithmetic subgroup / conformal structure / projective structure / period mapping / hypergeometric equation / configuration space / intersection theory / Capelli恒等式 / twisted(co)homology / modular interpretation / 白頭絡 / 交叉数 / 超平面配置 / 保型形式 / 周期写像 / 共形場理論 / 行列式イデアル / Ruijsenaars模型 / Hecke環 / アフィンリー環 / W代数 / 楕円量子KZ方程式 / 特殊関数 / 楕円関数 / ホップ代数 / アフィン リー環 / Macdonald多項式 / ヘッケ環 / q-KZ方程式 / Rujisenaars模型 / 楕円超幾何関数 / Macdonald対称関数 / 変形W代数 / 量子行列式 / 楕円q-KZ方程式 / 楕円Ruijsenaars模型 / 楕円量子群 / Jackson-Mellin transform / Euler integral / Mahler measure / Casimir energy / Jackson integral / Kinkelin formula / zeta function / multiple sine function / 多重ガンマ関数 / カタラン定数 / 量子化 / 超越性 / 代数性 / ジャクソン・メリン変換 / オイラー定積分 / マーラー測度 / カシミール・エネルギー / ジャクソン積分 / キンケリン公式 / ゼータ関数 / 多重三角関数 / mapping class group / KZ equation / iterated integral / loop space / 局所系 / 共形場の理論 / 多変数超幾何関数 / シュレフリ関数 / 有限型位相不変量 / ランキングパターン / 組みひも群 / 周期積分 / ジョーンズ多項式 / セルバーグ積分 / 写像類群 / 反復積分 / ループ空間 / hyperbolic Schwarz map / Schwarz triangle / Lambda function / Whitehead-link / intersection number / Selberg integral / ベタ関数 / 又曲幾何 / 交叉形式 / 背負ってる回路 / 又曲黒写像 / 黒三角形 / 乱舞だ関数 / 捻表・裏路地群 / 塩山積分 / Riemann-Hilbert correspondence / Confluence / Backlund transformation / Space of initial conditions / Defining manifold / Painleve equation / Degenerate Garnier system / Garnier system / エアリ関数 / 岡本・パンルヴェ対 / 特殊古典解 / 捻れサイクル / 超幾何函数解 / モノドロミー空間 / 非線形モノドロミー / 合流操作 / 超幾何関数解 / 差分パンルヴェ方程式 / ベックルント変換の合流 / リーマン・ヒルベルト対応 / 合流 / ベックルント変換 / 初期値空間 / 定義多様体 / パンルヴェ方程式 / 退化ガルニエ系 / ガルニエ系 / automorphic form / hyperbolic structure / uniformization / 対称空間 / 数論的部分群 / Schottky群 / 無限積 / テタ関数 / 又曲空間 / 刻印三次曲面 / 一意化方程式 / Riemann zeta function / determinant expression / q-analogue / non-commutative harmonicoscillator / specter zeta function / Selberg zeta function / trace formula / zeta regularized product / ホロノミー / 不変微分作用素 / Pfaffian / セルバーグ・ゼータ関数 / パフィアン / カシミール効果 / 局所対称空間 / 関数等式 / オイラー定義 / セルバーグゼータ / リーマンゼータ / リーマンゼータ関数 / q-類似 / 非可換調和振動子 / スペクトルゼータ関数 / セルバーグゼータ関数 / 跡公式 / ゼータ正規化積 / 直交多項式 / パンルヴェ関数 / 可積分系 / g-解析 / 量子群の表現 / 対称領域 / 鏡映群 / Hodge理論 / Hasse不変量 / pfaffian / Selberg型積分 / twisted cohomology / twisted cycles / 微分方程式 / 解析学 / middle convolution / 接続係数 / rigid局所系 / 超曲面 / アクセサリー・パラメーター / 完全積分可能系 / モノドロミー / 複素領域における微分方程式 / 大域解析 / 裏黒写像 / 共鳴 / 測多価群 / 離散 / 絵有 / 特異点 / 燕尾 / 平前 / 捻表路地群 / 舌寝配置 / 離散平前曲面 / 焦曲面 / 平行曲面族 / 平面配置 / 離散曲面 / 絵有関数 / 平前曲面 / 又黒写像 / 超幾何積分 / モジュライ理論 / 超幾何系 / 球関数 / 非線型構造 / 可解格子模型 / 位相的場の理論 / テーター凾数 / 古典有界領域 / モノドロミイ群 / 超幾何凾数 / linkの不変量 / spin model / Hadamard行列 / association scheme / 差集合 / 有向グラフの表現 / 不変式 / ロビンソン・シェンステッド対応 / 分配束 / ヤング・バクスタ-方程式 / 微分形式 / 安定曲線の普遍族 / N=2超共形的リ-環 / リ-環のコホモロジ- / アファイン・リ-環、ヴィラゾロ-リ-環 / Yang-Baxter作用素 / 極小自由分解 / Cohen-Macaulay加群 / Ehrhart多項式 Less
  • Research Projects

    (32 results)
  • Research Products

    (103 results)
  • Co-Researchers

    (74 People)
  •  Connection problems of hypergeometric functions in several variables and their related topicsPrincipal Investigator

    • Principal Investigator
      三町 勝久
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      The University of Osaka
  •  古典的現代的多変数超幾何函数の接続問題とその発展Principal Investigator

    • Principal Investigator
      三町 勝久
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Osaka University
  •  Connection problems of hypergeometric functions from the view point of higher dimensional Erdelyi cycles and their intersection numbersPrincipal Investigator

    • Principal Investigator
      Mimachi Katsuhisa
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Osaka University
  •  Representation of elliptic quantum groups and elliptic Ruijsenaars model

    • Principal Investigator
      Konno Hitoshi
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Marine Science and Technology
  •  Recent development of special functions from the viewpoint of the representation theory and the integrals in complex variablesPrincipal Investigator

    • Principal Investigator
      MIMACHI KATSUHISA
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
      Tokyo Institute of Technology
  •  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
  •  Recent development of special functions from the viewpoint of representation theory and integrals of complex variablesPrincipal Investigator

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Study on hypergeometric functions

    • Principal Investigator
      YOSHIDA Masaaki
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Zeta functions and multiple sine functions

    • Principal Investigator
      KUROKAWA Nobushige
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Theory of braids, hyperplane arrangements and applications to conformal field theory

    • Principal Investigator
      KOHNO Toshitake
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Recent development of special functins … an approach from the representation thery and the complex integralsPrincipal Investigator

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technoroly
  •  Geometric study of the hypergeometric function

    • Principal Investigator
      YOSHIDA Masaaki
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  Defining manifolds and symmetries of nonlinear special functions in several variables

    • 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
  •  Recent development of special functios ----an approach from the representation thery and the complex integralsPrincipal Investigator

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Study of dualities - "infinite sum = infinite product" and representations from the trace formulas viewpoint

    • Principal Investigator
      WAKAYAMA Masato
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  A Geometric study of hypergeometric functions

    • Principal Investigator
      YOSHIDA Masaaki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  有限体およびP進体上のKZ方程式とその表現論への応用

    • Principal Investigator
      谷崎 俊之
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Hiroshima 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
  •  Modern development of special functions - approach from the representation theory and the integralsPrincipal Investigator

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  QKZ方程式とMacdonald多項式Principal Investigator

    • Principal Investigator
      三町 勝久
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyushu University
  •  Various aspects of hypergeometric functions

    • Principal Investigator
      YOSHIDA Masaaki
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
  •  位相的場の理論とそのモジュライ

    • Principal Investigator
      YAMADA Yasuhiko
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  ホロノミック系からの量子群・可解格子模型・共形場Principal Investigator

    • Principal Investigator
      三町 勝久
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  Geometric study of linear differential equations in complex variables

    • Principal Investigator
      YOSHIDA Masaaki
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
  •  量子群・共形場・可解格子模型・ホロノミック q-差分系の相互理解とその発展Principal Investigator

    • Principal Investigator
      三町 勝久
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyushu University
  •  線型微分方程式の幾何学的研究

    • Principal Investigator
      YOSHIDA Masaaki
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  量子群・共形場・可解格子模型・ホロノミック q-差分系の相互理解Principal Investigator

    • Principal Investigator
      三町 勝久
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  代数的変換群の理論と応用

    • Principal Investigator
      寺西 鎮男
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  差集合とassociation schemeの関連性の研究

    • Principal Investigator
      山田 美枝子
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  環論,組合せ論,表現論とその応用

    • Principal Investigator
      松村 英之
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  2次元共形場の理論と無限次元Lie環の表現論

    • Principal Investigator
      土屋 昭博
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  環論、組合せ論、表現論とその応用

    • Principal Investigator
      松村 英之
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University

All 2024 2023 2022 2020 2019 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] 群論の進化2004

    • Author(s)
      堀田良之, 渡辺敬一, 庄司俊明, 三町勝久
    • Total Pages
      445
    • Publisher
      朝倉書店
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] A simple proof of Slater’s transformations for bilateral series ${}_{r}\psi _{r},\, {}_{2r}\psi _{2r}$ and ${}_{2r-1}\psi _{2r-1}$2024

    • Author(s)
      Mimachi Katsuhisa
    • Journal Title

      The Ramanujan Journal

      Volume: 64 Issue: 1 Pages: 67-78

    • DOI

      10.1007/s11139-023-00812-3

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-22K03337
  • [Journal Article] The Irreducibility of the Monodromy Representation Associated with the Dotsenko?Fateev Equation2024

    • Author(s)
      Mimachi Katsuhisa
    • Journal Title

      Communications in Mathematical Physics

      Volume: 405 Issue: 3

    • DOI

      10.1007/s00220-024-04942-7

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-22K03337
  • [Journal Article] Yet another proof of Ramanujan's ${}_1\psi_1$ sum2023

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: ―

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K03337
  • [Journal Article] Connection formulas related with Appell's hypergeometric function $F_1$2022

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      PoS (Proceedings of Science)

      Volume: 383 Pages: 010-010

    • DOI

      10.22323/1.383.0010

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03517
  • [Journal Article] INTEGRAL REPRESENTATIONS OF APPELL&apos;S <i>F</i><sub>2</sub>, <i>F</i><sub>3</sub>, HORN&apos;S <i>H</i><sub>2</sub> AND OLSSON&apos;S <i>F<sub>P</sub></i> FUNCTIONS2020

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 74 Issue: 1 Pages: 1-13

    • DOI

      10.2206/kyushujm.74.1

    • NAID

      130007873247

    • ISSN
      1340-6116, 1883-2032
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03517
  • [Journal Article] CONNECTION FORMULAS RELATED WITH APPELL&apos;S <i>F</i><sub>2</sub>, HORN&apos;S <i>H</i><sub>2 </sub>AND OLSSON&apos;S <i>F</i><i><sub>P </sub></i>FUNCTIONS2020

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 74 Issue: 1 Pages: 15-42

    • DOI

      10.2206/kyushujm.74.15

    • NAID

      130007873237

    • ISSN
      1340-6116, 1883-2032
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03517
  • [Journal Article] MONODROMY REPRESENTATIONS ASSOCIATED WITH THE GENERALIZED HYPERGEOMETRIC FUNCTION <b><i><sub>n</sub></i></b><b><sub>+</sub></b><sub>1</sub><b><i>F</i></b><b><i><sub>n </sub></i></b>AND THEIR REDUCIBILITY2016

    • Author(s)
      K. .Mimachi
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 70 Issue: 1 Pages: 105-129

    • DOI

      10.2206/kyushujm.70.105

    • NAID

      130005152471

    • ISSN
      1340-6116, 1883-2032
    • Language
      English
    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-23340002, KAKENHI-PROJECT-15H03628
  • [Journal Article] Reducibility of the systems of differential equations satisfied by Appell's F_2, F_3 and F_42015

    • Author(s)
      Katsuhisa Mimachi and Takeshi Sasaki
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Journal Article] The connection problem associated with a Selberg type integral and the q-Racah polynomials2013

    • Author(s)
      K.Mimachi
    • Journal Title

      Forum Math.

      Volume: 25 Issue: 6 Pages: 1127-1179

    • DOI

      10.1515/form.2011.139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Journal Article] The connection problem associated with a Selberg type integral and the q-Racah polynomials2013

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      Forum Math

      Volume: 25 Pages: 1127-1179

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Journal Article] Irreducibility and reducibility of Lauricella's system of differential equations E_D and the Jordan-Pochhammer differential equation E_{JP}2012

    • Author(s)
      K.Mimachi and T.Sasaki
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 66

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Journal Article] Monodromy representations associated with Appell's hypergeometric function F_1 using integrals of a multivalued function2012

    • Author(s)
      K.Mimachi and T.Sasaki
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 66

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Journal Article] Monodromy representations associated with the Gauss hypergeometric function using integrals of a multivalued function2012

    • Author(s)
      K.Mimachi and T.Sasaki
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 66

    • NAID

      130002543071

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Journal Article] Solutions for some families of Fuchsian differential equations free from accessory parameters in terms of the integral of Euler type2012

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      Adv. Stud. Pure Math

      Volume: 62 Pages: 233-260

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Journal Article] Solutions for some families of Fuchsian differential equations free from accessory parameters in terms of the integral of Euler type2012

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 62 Pages: 233-260

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Journal Article] MONODROMY REPRESENTATIONS ASSOCIATED WITH THE GAUSS HYPERGEOMETRIC FUNCTION USING INTEGRALS OF A MULTIVALUED FUNCTION2012

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 66 Issue: 1 Pages: 35-60

    • DOI

      10.2206/kyushujm.66.35

    • NAID

      130002543071

    • ISSN
      1340-6116, 1883-2032
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038, KAKENHI-PROJECT-22540083
  • [Journal Article] MONODROMY REPRESENTATIONS ASSOCIATED WITH APPELL' S HYPERGEOMETRIC FUNCTION <i>F</i><sub>1</sub> USING INTEGRALS OF A MULTIVALUED FUNCTION2012

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 66 Issue: 1 Pages: 89-114

    • DOI

      10.2206/kyushujm.66.89

    • NAID

      130002543073

    • ISSN
      1340-6116, 1883-2032
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038, KAKENHI-PROJECT-22540083
  • [Journal Article] Solutions for some families of Fuchsian differential equations free from accessory parameters in terms of the integral2012

    • Author(s)
      K.Mimachi
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 62

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Journal Article] IRREDUCIBILITY AND REDUCIBILITY OF LAURICELLA' S SYSTEM OF DIFFERENTIAL EQUATIONS <i>E</i><sub>D</sub> AND THE JORDAN-POCHHAMMER DIFFERENTIAL EQUATION <i>E</i><sub>JP</sub>2012

    • Author(s)
      Katsuhisa Mimachi
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 66 Issue: 1 Pages: 61-87

    • DOI

      10.2206/kyushujm.66.61

    • NAID

      130002543072

    • ISSN
      1340-6116, 1883-2032
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038, KAKENHI-PROJECT-22540083
  • [Journal Article] The Jones polynomial and the intersection numbers of twisted cycles associated with a Selberg type integral2011

    • Author(s)
      K.Mimachi
    • Journal Title

      J.of Knot Theory and Its Ramifications 20

      Pages: 469-496

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] A connection problem for Simpson's even family of rank four2011

    • Author(s)
      Yoshishige Haraoka and Katsuhisa Mimachi
    • Journal Title

      Funk. Ekvac

      Volume: 54 Pages: 495-515

    • NAID

      130001271656

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Journal Article] Intesection numbers for twisted cycles and the connection problem associated with the generalized hypergeometric function {}_{n+1}F_n2011

    • Author(s)
      K.Mimachi
    • Journal Title

      International Mathematics Eesearch Notices

      Volume: 2011 Pages: 1757-1781

    • DOI

      10.1093/imrn/rnq131

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Journal Article] Intesection numbers for twisted cycles and the connection problem associated with the generalized hypergeometric function {}_{n+1} F_n2011

    • Author(s)
      K.Mimachi
    • Journal Title

      International Mathematics Research Notices

      Volume: 2011 Pages: 1757-1781

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] The Jones polynomial and the intersection numbers of twisted cyclesassociated with a Selberg type integral2011

    • Author(s)
      K.Mimachi
    • Journal Title

      Jour.Knot Theory and its Ramifications

      Volume: 20 Issue: 03 Pages: 469-496

    • DOI

      10.1142/s0218216511008887

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Journal Article] A connection problem for Simposon's even family of rank four2011

    • Author(s)
      Y.Haraoka, K.Mimachi
    • Journal Title

      Funkt.Ekvac.

      Volume: 54 Pages: 495-515

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Journal Article] The Jones polynomial and the intersection numbers of twisted cycles associated with a Selberg type intergral2011

    • Author(s)
      K.Mimachi
    • Journal Title

      Jour.Knot Theory and its Ramifications

      Volume: 20 Pages: 469-496

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Connection matrices associated with the generalized hypergeometric function _3F_22008

    • Author(s)
      K.Mimachi
    • Journal Title

      Funkt.Ekvac. 51

      Pages: 107-133

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Connection matrices associated with the generalized hypergeometric function 3F22008

    • Author(s)
      K. Mimachi
    • Journal Title

      Funkcialaj Ekvacioj 51

      Pages: 107-133

    • NAID

      130000140702

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Connection matrices associated with the generalized hypergeometric function_3F_22008

    • Author(s)
      K. Mimachi
    • Journal Title

      Funkt. Ekvac 51

      Pages: 107-133

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Regularizable cycles associated with a Selberg-type integral under some resonance condition2007

    • Author(s)
      K. Mimachi, M. Yoshida
    • Journal Title

      Internat. Jour. Math. 18

      Pages: 395-409

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Regularizable cycles associated with a Selberg-type integral under some resonance condition2007

    • Author(s)
      K.Mimachi, M.Yoshida
    • Journal Title

      nternat. Jour. Math 18

      Pages: 395-409

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340014
  • [Journal Article] A Jackson integral analogue of Euler's logarithmic sine integral2007

    • Author(s)
      Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato
    • Journal Title

      Rendiconti del Circolo Matematico di Palermo 56

      Pages: 43-56

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Regularizable cycles associated with a Selberg-type integral under some resonance condition2007

    • Author(s)
      K.Mimachi, Masaaki Yoshida
    • Journal Title

      Internat.Jour.Math. {\bf 18}

      Pages: 395-409

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Regularizable cycles associated with a Selberg-type integral under some resonance condition2007

    • Author(s)
      K. Mimachi-M. Yoshida
    • Journal Title

      Internat 18

      Pages: 395-409

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Regularizable cycles associated with a Selberg-type integral under some resonance condition.2007

    • Author(s)
      M.Yoshida, K.Mimachi
    • Journal Title

      Internat J Math 18

      Pages: 1-15

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340034
  • [Journal Article] Regularizable cycles associated with a Selberg-type integral under some resonance relation2007

    • Author(s)
      K. Mimachi, M. Yoshida
    • Journal Title

      Internat J Math 18

      Pages: 1-15

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340034
  • [Journal Article] Jackson's integral of the Hurwitz zeta function2007

    • Author(s)
      Nobushige Kurokawa, K.Mimachi, Masato Wakayama
    • Journal Title

      Rendiconti del circolo atematico di Palermo 56

      Pages: 43-56

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] A Jackson integral analogue of Euler's logarithmic sine integral2007

    • Author(s)
      N. Kurokawa, K. Mimachi, M. Wakayama
    • Journal Title

      Rendiconti del Circolo Matematico di Palermo 56

      Pages: 43-56

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] A generalization of the beta integral arising from the Knizhnik-Zamolodchikov equation for the vector representations of types B n, C n and D n2005

    • Author(s)
      K.Mimachi, T.Takamuki
    • Journal Title

      Kyushu J.of Math. 59

      Pages: 117-126

    • NAID

      110001263495

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Homological Representations of the Iwahori-Hecke algebra associated with a Selberg-type integral2005

    • Author(s)
      K.Mimachi
    • Journal Title

      Intern.Math.Res.Notices 33

      Pages: 2031-2057

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Homological Representations of the Iwahori-Hecke algebra associated with a Selberg-type integral2005

    • Author(s)
      K.Mimachi
    • Journal Title

      Intern. Math. Res. Notices 33

      Pages: 2031-2057

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] A generalization of the Beta integral arising from the Knizhnik-Zamolodchikov equation for the vector representations of types B_n, C_n and D_n2005

    • Author(s)
      K.Mimachi, T.Takamuki
    • Journal Title

      Kyushu J.Math. 59

      Pages: 117-126

    • NAID

      110001263495

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] A generalization of the Beta integral arising from the Knizhnik-Zamolodchikov equation for the vector representations of types B_n, G_n and D_n2005

    • Author(s)
      K.Mimachi, T.Takamuki
    • Journal Title

      Kyushu J.Math. 59

      Pages: 2031-2057

    • Data Source
      KAKENHI-PROJECT-16340014
  • [Journal Article] Homological representations of the Iwahori-Hecke algebra associated with a Selberg type integral2005

    • Author(s)
      K.Mimachi
    • Journal Title

      International Mathematics Research Notices 33

      Pages: 2031-2057

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory2004

    • Author(s)
      K.Mimachi, M.Yoshida
    • Journal Title

      Commun.Math.Phys. 250

      Pages: 23-45

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Intersection numbers for loaded cycles associated with Selberg-type integrals2004

    • Author(s)
      K.Mimachi, K.Ohara, M.Yoshida
    • Journal Title

      Tohoku Math.J. 56

      Pages: 531-551

    • NAID

      110001043908

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory2004

    • Author(s)
      K.Mimachi, M.Yoshida
    • Journal Title

      Commun. Math. Phys. 250

      Pages: 23-45

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory2004

    • Author(s)
      K.Mimachi, M.Yoshida
    • Journal Title

      CMP 250

      Pages: 23-45

    • Data Source
      KAKENHI-PROJECT-14340049
  • [Journal Article] Intersection numbers for loaded cycles associated with Selberg-type integrals2004

    • Author(s)
      K.Mimachi, K.Ohara, M.Yoshida
    • Journal Title

      Tohoku J Math 56

      Pages: 531-551

    • NAID

      110001043908

    • Data Source
      KAKENHI-PROJECT-14340049
  • [Journal Article] Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory2004

    • Author(s)
      Mimachi, Yoshida
    • Journal Title

      Commun.Math.Phys. 250

      Pages: 23-45

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340049
  • [Journal Article] Intersection numbers for loaded cycles associated with Selberg-type integrals2004

    • Author(s)
      K.Mimachi, K.Ohara, M.Yoshida
    • Journal Title

      Tohoku Math. J. 56

      Pages: 531-551

    • NAID

      110001043908

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Intersection numbers of twisted cycles associated with Selberg integrals2004

    • Author(s)
      Katsuhisa Mimachi, Masaaki Yoshida
    • Journal Title

      Comm.Math.Phys. 250

      Pages: 23-45

    • Data Source
      KAKENHI-PROJECT-16340014
  • [Journal Article] Intersection numbers of loaded cycles associated with Selberg integrals2004

    • Author(s)
      Katsuhisa Mimachi, Katsuyoshi Ohara
    • Journal Title

      Tohoku Math.J. 56

      Pages: 531-551

    • Data Source
      KAKENHI-PROJECT-16340014
  • [Journal Article] Intersction theory for loaded cycles IV - resonant cases2003

    • Author(s)
      K.Mimachi, H.Ochiai, M.Yoshida
    • Journal Title

      Mathematische Nachrichten 260

      Pages: 67-77

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440054
  • [Journal Article] Intersection numbers of twisted cycles and the correlation functions of the conformal field theory2003

    • Author(s)
      K.Mimachi, M.Yoshida
    • Journal Title

      Commun.Math.Phys. 234

      Pages: 339-358

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-12440010
  • [Journal Article] Intersection theory for loaded cycles IV-resonant cases2003

    • Author(s)
      K.Mimachi, H.Ochiai, M.Yoshida
    • Journal Title

      Math. Nach. 260

      Pages: 67-77

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Intersection theory for loaded cycles IV-resonant cases2003

    • Author(s)
      K.Mimachi, H.Ochiai, M.Yoshida
    • Journal Title

      Math.Nach. 260

      Pages: 67-77

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Intersection numbers of twisted cycles and the correlation functions of the conformal field theory.2003

    • Author(s)
      K.Mimachi, Masaaki Yoshida
    • Journal Title

      Commun.Math.Phys. 234

      Pages: 339-358

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-12440010
  • [Journal Article] Intersection theory for loaded cycles IV ‥resonant cases2003

    • Author(s)
      K.Mimachi, H.Ochiai, M.Yoshida
    • Journal Title

      Math.Nachr. 260

      Pages: 67-77

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-12440010
  • [Journal Article] The reciplocity relation of the Selberg function.2003

    • Author(s)
      K.Mimachi, Masaaki Yoshida
    • Journal Title

      J.Comput.and Appl.Math. 160

      Pages: 209-215

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-12440010
  • [Journal Article] Intersection numbers of twisted cycles and the correlation functions of the conformal field theory2003

    • Author(s)
      Mimachi, Yoshida
    • Journal Title

      Commun.Math.Phys. 243

      Pages: 339-358

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340049
  • [Journal Article] Intersction theory for loaded cycles IV---resonant cases.2003

    • Author(s)
      K.Mimachi, Hiroyuki Ochiai, Masaaki Yoshida
    • Journal Title

      Math.Nachr. 260

      Pages: 67-77

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-12440010
  • [Journal Article] The Jones polynomial and the intersection numbers of twisted cycles associated with a Selberg type integral

    • Author(s)
      K. Mimachi
    • Journal Title

      J. Knot Theory and its Ramif

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Solutions for some families of Fuchsian differential equations free from accessory parameters in terms of the integral

    • Author(s)
      K.Mimachi
    • Journal Title

      the Proceedings of the 2nd MSJ-SI "Arrangements of Hyperplanes" as a volume in the series of the Advanced Studies in Pure Mathematics 掲載予定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Connection matrices associated with the generalized hypergeometric function _3F_2

    • Author(s)
      K.Mimachi
    • Journal Title

      Funkt. Ekvac. (to appear)印刷中

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] The Jones polynomial and the intersection numbers of twisted cycles associated with a Selberg type integral

    • Author(s)
      K.Mimachi
    • Journal Title

      J.Knot Theory and its Ramif. (In press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] A connection problem for Simposon's even family of rank four

    • Author(s)
      K.Mimachi, Yoshishige Haraoka
    • Journal Title

      Funkt.Ekvac. 掲載予定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Regularizable cycles associated with a Selberg-type integral under some resonance condition

    • Author(s)
      K.Mimachi, M.Yoshida
    • Journal Title

      Internat. Jour. Math. (to appear)印刷中

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] A connection problem for Simposon's even family of rank four

    • Author(s)
      Y.Haraoka, K.Mimachi
    • Journal Title

      Funkt.Ekvac.

      Volume: (to appear)

    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] The connection problem associated with a Selberg type integral and the q-Racah polynomials

    • Author(s)
      K.Mimachi
    • Journal Title

      Forum Mathematicum 掲載予定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Dotsenko-Fateev 方程式の解に付随するモノドロミー表現 とその既約性について2022

    • Author(s)
      Katsuhisa Mimachi
    • Organizer
      琉球超幾何ワークショップ 2022
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K03337
  • [Presentation] Appellの$E_1$方程式系の解の接続問題2022

    • Author(s)
      Katsuhisa Mimachi
    • Organizer
      アクセサリー・パラメーター研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03517
  • [Presentation] 微分方程式に付随する接続問題への交叉理論の応用2020

    • Author(s)
      Katsuhisa Mimachi
    • Organizer
      ``q, q and q,'' 神戸大学理学部, 2020.2.19--21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03517
  • [Presentation] Application of the intersection theory to the connection problem related with differential equations2019

    • Author(s)
      Katsuhisa Mimachi
    • Organizer
      MathemAmplitudes 2019 : Intersection Theory and Feynman Integrals, 18--20 December 2019, University of Padova, Padova, Italy
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03517
  • [Presentation] 一般超幾何方程式${}_{n+1}E_n$に付随するモノドロミー表現2016

    • Author(s)
      三町勝久
    • Organizer
      超幾何方程式研究会2016
    • Place of Presentation
      神戸大学瀧川記念学術交流会館(神戸市灘区六甲台町)
    • Year and Date
      2016-01-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Presentation] Mehta-Macdonaldの積分公式の導出(N=2,3,4,5)2014

    • Author(s)
      三町勝久
    • Organizer
      超幾何方程式研究会2014
    • Place of Presentation
      神戸大学瀧川記念学術交流会館(兵庫県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Presentation] AppellのF_4超幾何函数に付随するモノドロミー表現 II2013

    • Author(s)
      三町勝久
    • 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(熊本県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Presentation] AppellのF_4超幾何函数に付随するモノドロミー表現2013

    • Author(s)
      三町勝久
    • Organizer
      超幾何方程式研究会2013
    • Place of Presentation
      神戸大学(兵庫県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Presentation] 一般超幾何函数_{n+1}F_nに付随するモノドロミー表現2012

    • Author(s)
      三町勝久
    • Organizer
      研究集会「超幾何関数とその周辺」
    • Place of Presentation
      東京大学玉原国際セミナーハウス(群馬県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Presentation] ガウスの超幾何微分方程式の解の積分表示2012

    • Author(s)
      三町勝久
    • Organizer
      超幾何方程式研究会2012
    • Place of Presentation
      神戸大学理学部(招待講演)
    • Year and Date
      2012-01-17
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Presentation] 超幾何型函数のモノドロミ-表現の既約条件2011

    • Author(s)
      三町勝久
    • Organizer
      超幾何方程式研究会2011
    • Place of Presentation
      神戸大学
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Connection formulas of the solutions of Fuchsian differential equations and intersection numbers of twisted cycles2010

    • Author(s)
      三町勝久
    • Organizer
      International conference on Analysis, Geometry and Group Representations for Homogeneous Spaces
    • Place of Presentation
      Lorentz center, Leiden, Netherlands
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Twisted de Rham theory-resonances and the non-resonance2010

    • Author(s)
      三町勝久
    • Organizer
      研究集会「BC系とAGT予想の周辺」
    • Place of Presentation
      東大数理.
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Intersection numbers of twisted cycles and the connection problem for the Fuchsian diferential equations2010

    • Author(s)
      三町勝久
    • Organizer
      超幾何方程式研究会2010
    • Place of Presentation
      神戸大学
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Connection formulas of the solutions of Fuchsian differential equations and intersection numbers of twisted cycles2010

    • Author(s)
      K.Mimachi
    • Organizer
      Analysis, Gemometry and Group Representations for Homogeneous Spaces
    • Place of Presentation
      Lorentz center, Leiden, Netherlands
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Intersection numbers of twisted cycles and the connection problem for the Fuchsian differential equations2009

    • Author(s)
      三町勝久
    • Organizer
      Aarhus 大学
    • Place of Presentation
      Workshop "q-Representation theory." にて
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] 一般超幾何函数の接続公式,ねじれホモロジーの交叉数2009

    • Author(s)
      三町勝久
    • Organizer
      数理研短期共同「微分方程式のモノドロミ─をめぐる諸問題」
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Arrangements of hyperplanes and solutions of the Fuchsian diferential equations free from accessory parameters2009

    • Author(s)
      三町勝久
    • Organizer
      Mathematical Society of Japan Seasonal Institute 2009 on Arrangements of Hyperplanes
    • Place of Presentation
      北海道大学
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] 一般超幾何函数の接続公式とねじれホモロジーの交叉数2009

    • Author(s)
      三町勝久
    • Organizer
      数理研短期共同「微分方程式のモノドロミーをめぐる諸問題」(代表 : 木村弘信)
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Topics around the integrals related with the present workshop2009

    • Author(s)
      三町勝久
    • Organizer
      Workshop on Accessory Paramaters
    • Place of Presentation
      東京大学玉原国際セミナーハウス(群馬県沼田市玉原高原)
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Intersection numbers of twisted cycles and the connection problem for the Fuchsian differential equations2009

    • Author(s)
      三町勝久
    • Organizer
      Workshop ``q-Representation theory.
    • Place of Presentation
      Univ.Aarhus
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Arrangements of hyperplanes and solutions of the Fuchsian diferential equations free from accessory parameters2009

    • Author(s)
      三町勝久
    • Organizer
      Mathematical Society of Japan Seasonal Institute 2009 on Arrangements of Hyperplanes
    • Place of Presentation
      北海道大学.
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] セルバーグ型積分に付随するサイクルと量子群2008

    • Author(s)
      三町勝久
    • Organizer
      第11回 代数群と量子群の表現論 研究集会
    • Place of Presentation
      岡山県青年会館
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] The connection problem associated with a Selberg type integral and the q-Racah polynomials2008

    • Author(s)
      三町勝久
    • Organizer
      研究集会「超平面配置のさまざまな側面(Several Aspects of Hyperplane Arrangements) 」
    • Place of Presentation
      神戸大\自然科学
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] The connection problem associated with a Selberg type integral and the q-Racah polynomials2007

    • Author(s)
      三町勝久
    • Organizer
      School on Algebraic Approach on Differential Equations
    • Place of Presentation
      Bibliotheca Alexandrina, Alexandra Egypt.
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] セルバーグ型積分に付随したねじれサイクルの交叉数とジョーンズ多項式2007

    • Author(s)
      三町 勝久
    • Organizer
      Interigence of Low dimensional Toplogy
    • Place of Presentation
      大阪府立大学
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Presentation] Monodromy representations associated with the generalized hypergeometric functions {}_{n+1}F_n

    • Author(s)
      三町勝久
    • Organizer
      アクセサリー・パラメーター研究会
    • Place of Presentation
      熊本大学理学部
    • Year and Date
      2015-03-13 – 2015-03-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Presentation] AppellのF_4超幾何函数に付随するモノドロミー表現

    • Author(s)
      三町勝久
    • Organizer
      超幾何方程式研究会2013
    • Place of Presentation
      神戸大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Presentation] Gelfand の超幾何微分方程式E(k,n)の可約性と隣接作用素

    • Author(s)
      三町勝久
    • Organizer
      超幾何方程式研究会2015
    • Place of Presentation
      神戸大学瀧川記念学術交流会館
    • Year and Date
      2015-01-05 – 2015-01-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340002
  • [Presentation] 一般超幾何函数{n+1}F_nに付随するモノドロミー表現

    • Author(s)
      三町勝久
    • Organizer
      研究集会「超幾何関数とその周辺」
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Presentation] 古典超幾何函数に付随するモノドロミー表現の既約性・可約性

    • Author(s)
      三町勝久
    • Organizer
      金沢大学数理学談話会
    • Place of Presentation
      金沢大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-21340038
  • [Presentation] Monodromy representations associated with the generalized hypergeometric functions {}_{n+1}F_n

    • Author(s)
      三町勝久
    • Organizer
      Representation Theory, Special Functions and Painleve Equations
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-03-03 – 2015-03-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340002
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