School personnel information

写真b

Mimachi Katsuhisa


Keyword

integrals in complex variables from de Rham theory, representation theory, differential equations in complex variables, mathematical physics

Organization 【 display / non-display

  • 2014.04.01 - , Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Professor

Education 【 display / non-display

Nagoya University Graduate School, Division of Natural Science  Completed 1988.03

Research topics 【 display / non-display

  • Differential equations in complex variables, Special functions, Representation theory, Mathematical Physics
    Basic analysis-related, Mathematical analysis-related

 

Academic Papers 【 display / non-display

  • Complex hypergeometric integrals, Katsuhisa Mimachi, Advanced Studies in Pure Mathematics,{\bf 76} (2018), 469--486, 2018.06, Papers

  • Nakagiri's monodromy representations associated with Appell's hypergeometric functions $F_2$ and $F_3$, Katsuhisa Mimachi, Funkt. Ekvac,{\bf 60} (2017), 77--132., 2017.05, Papers

  • The hypergeometric systems and the contiguity operartors on the Grassmannian manifold and on the associated cofiguration space, Katsuhisa Mimachi, Takeshi Sasaki, International J. Math.,{\bf 27} (2016), 1650056 (45 pages), 2016.10, Papers

  • On a fundamental set of solutions to the generalized hypergeometric equation ${}_{n+1}E_n$ represented by integrals of Euler type, Katsuhisa Mimachi, Kyushu J. Math.,{\bf 70} (2016), 375--399., 2016.07, Papers

  • Solutions in terms of integrals of multivalued functions for the classical hypergeometric equations and the hypergeometric system on the configuration space, Katsuhisa Mimachi , Masatishi Noumi, Kyushu J. Math., {\bf 70} (2016), 315--342., 2016.07, Papers

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Books 【 display / non-display

  • Textbook, Lectures on calculus, Katsuhisa Mimachi, ISBN, 978-4-535-78801-5, 2016.03

  • Special, Progress in group theory, Ryoshi Hotta, Keiichi Watanabe, Toshiaki Shoji, Katsuhisa Mimachi, ISBN, 254-11099-5, 2004.04