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J-GLOBAL ID：201801015652054230   Update date: Sep. 24, 2024

Katsuhisa Mimachi

ミマチ カツヒサ | Katsuhisa Mimachi
Affiliation and department：
Osaka University Graduate School of Information Science and Technology Department of Pure and Applied Mathematics

About Osaka University Graduate School of Information Science and Technology Department of Pure and Applied Mathematics


Job title： Professor
Research field  (1)： Basic analysis
Research keywords  (5)： Selberg integral ,  hypergeometric functions ,  monodromy representations ,  connection problem ,  Integrals of complex variables
Research theme for competitive and other funds  (32)：
  • 2022 - 2026 Connection problems of classical and modern hypergeometric functions in several variables and their developments
  • 2019 - 2023 Erdelyiサイクルの高次元化とその交叉数から捉える超幾何函数の接続問題
  • 2013 - 2018 Study of differntial equations with actions of groups and its applications
  • 2014 - 2017 Representation of elliptic quantum groups and elliptic Ruijsenaars model
  • 2011 - 2016 特殊函数の現代的発展- 表現論と複素積分からのアプローチ
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Papers (68)：
  • Katsuhisa Mimachi. The Irreducibility of the Monodromy Representation Associated with the Dotsenko-Fateev Equation. Communications in Mathematical Physics. 2024. 405. 3
  • Katsuhisa Mimachi. A simple proof of Slater’s transformations for bilateral series $${}_{r}\psi _{r},\, {}_{2r}\psi _{2r}$$ and $${}_{2r-1}\psi _{2r-1}. The Ramanujan Journal. 2024. 64. 1. 67-78
  • Katsuhisa Mimachi. Yet another proof of Ramanujan's ${}_1\psi_1$ sum. Proc. Amer. Math. Soc. 2023. 151. 3503-3512
  • Katsuhisa Mimachi. Connection formulas related with Appell's hypergeometric function $F_1. PoS MA2019 (2022) 010. 2022. 1-73
  • Katsuhisa Mimachi. Connection formulas related with Appell's $F_2$, Horn's $H_2$ and Olsson's $F_P$ functions. Kyushu Journal of Mathematics. 2020. 74. 1. 15-42
ｍore...
MISC (20)：
  • 三町 勝久. 多変数の微分積分は難しい? (特集 微分積分の質問箱). 数学セミナー. 2015. 54. 6. 36-42
  • 三町 勝久. 一般化超幾何函数の接続公式とねじれホモロジーの交叉数 (微分方程式のモノドロミーをめぐる諸問題). 数理解析研究所講究録. 2009. 1662. 148-157
  • 三町 勝久. ヤング図形と直交多項式--ヴィラソロ代数とジャック多項式 (ヤング図形で遊ぶ物理と数学--イメージ力を鍛える). 数理科学. 2007. 45. 1. 9-14
  • 三町 勝久. 微分積分講義(第12回)微分積分の基礎(3). 数学セミナー. 2006. 45. 3. 76-84
  • 三町 勝久. 微分積分講義(第11回)微分積分の基礎(2). 数学セミナー. 2006. 45. 2. 66-72
ｍore...
Books (4)：
  • Lectures on Applied Analysis
    2021 ISBN:9784781915203
  • Lectures on Calculus
    2016 ISBN:9784535788015
  • 微分積分講義
    日本評論社 2006 ISBN:453578471x
  • Progress in group theory
    2004
Lectures and oral presentations  (11)：
  • Monodromy representations associated with the Dotsenko-Fateev equation and their irreducibility
    (2022)
  • Appellの$E_1$方程式系の解の接続問題
    (アクセサリー・パラメーター研究会 2022)
  • 微分方程式に付随する接続問題への交叉理論の応用
    (研究集会「$q, q, \&\, q$」 2020)
  • Application of the intersection theory to the connection problem related with differential equations
    (MathemAmplitudes2019:Intersection Theory \& Feynman Integrals 2019)
  • Appellの$F_4$函数のオイラー型積分表示式
    (アクセサリー・パラメーター研究会 2019)
ｍore...
Education (2)：
  • 1988 - 1988 Nagoya University Graduate School of Science
  • 1986 - 1988 Nagoya University Graduate School of Science
Professional career (1)：
  • 博士(理学) (名古屋大学)
Work history (6)：
  • 2014/04 - 現在 Osaka University Graduate School of Information Science and Technology, Department of Pure and Applied Mathematics
  • 2000/10 - 2014/03 Tokyo Institute of Technology Graduate School of Science and Engineering, Department of Mathematics
  • 2000/04 - 2000/09 Kyushu University Faculty of Mathematics
  • 1994/04 - 2000/03 Kyushu University
  • 1992/07 - 1994/03 Kyushu University School of Sciences
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Awards (1)：
  • 1996 - 日本数学会 日本数学会賞建部賢弘賞 「量子群と超幾何函数」
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
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