### School personnel information

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

### 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