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1

type

Mimachi, Katsuhisa

Journal:

Duke Mathematical Journal

Year:

1996

Language:

english

File:

PDF, 1.25 MB

english, 1996

2

Rogers?s $q$ -sphere

Noumi, Masatoshi, Mimachi, Katsuhisa

Journal:

Duke Mathematical Journal

Year:

1991

Language:

english

File:

PDF, 1.09 MB

english, 1991

3

Holonomic $q$ -difference system of the first order associated with a Jackson integral of Selberg type

Mimachi, Katsuhisa

Journal:

Duke Mathematical Journal

Year:

1994

Language:

english

File:

PDF, 976 KB

english, 1994

4

A reproducing kernel for nonsymmetric Macdonald polynomials

Mimachi, Katsuhisa, Noumi, Masatoshi

Journal:

Duke Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 854 KB

english, 1998

5

Eigenfunctions of Macdonald'sq-Difference Operator for the Root System of TypeCn

Katsuhisa Mimachi

Journal:

Journal of Functional Analysis

Year:

1999

Language:

english

File:

PDF, 104 KB

english, 1999

6

Representations of the quantum group SUq(2) and the little q-Jacobi polynomials

Tetsuya Masuda, Katsuhisa Mimachi, Yoshiomi Nakagami, Masatoshi Noumi, Kimio Ueno

Journal:

Journal of Functional Analysis

Year:

1991

Language:

english

File:

PDF, 1.42 MB

english, 1991

7

Jackson’s integral of the Hurwitz zeta function

Nobushige Kurokawa, Katsuhisa Mimachi, Masato Wakayama

Journal:

Rendiconti del Circolo Matematico di Palermo (1952 -)

Year:

1932

Language:

english

File:

PDF, 198 KB

english, 1932

8

Intersection Numbers of Twisted Cycles and the Correlation Functions of the Conformal Field Theory

Katsuhisa Mimachi, Masaaki Yoshida

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 173 KB

english, 2003

9

A New Derivation of the Inner Product Formula for the Macdonald Symmetric Polynomials

Katsuhisa Mimachi

Journal:

Compositio Mathematica

Year:

1998

Language:

english

File:

PDF, 83 KB

english, 1998

10

Intersection theory for loaded cycles IV — resonant cases

Katsuhisa Mimachi, Hiroyuki Ochiai, Masaaki Yoshida

Journal:

Mathematische Nachrichten

Year:

2003

Language:

english

File:

PDF, 167 KB

english, 2003

11

Integral Representations of the Wilson Polynomials and the Continuous Dual Hahn Polynomials

Katsuhisa Mimachi

Journal:

Advances in Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 403 KB

english, 1999

12

Askey–Wilson Polynomials by Means of a q-Selberg Type Integral

Katsuhisa Mimachi

Journal:

Advances in Mathematics

Year:

1999

Language:

english

File:

PDF, 141 KB

english, 1999

13

A Multidimensional Generalization of the Barnes Integral and the Continuous Hahn Polynomial

Katsuhisa Mimachi

Journal:

Journal of Mathematical Analysis and Applications

Year:

1999

Language:

english

File:

PDF, 298 KB

english, 1999

14

The reciprocity relation of the Selberg function

Katsuhisa Mimachi, Masaaki Yoshida

Journal:

Journal of Computational and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 127 KB

english, 2003

15

Bigq-Jacobi polynomials,q-Hahn polynomials, and a family of quantum 3-spheres

Masatoshi Noumi, Katsuhisa Mimachi

Journal:

Letters in Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 266 KB

english, 1990

16

Unitary representations of the quantum group SUq(1, 1): II — Matrix elements of unitary representations and the basic hypergoemetric functions

Tetsuya Masuda, Katsuhisa Mimachi, Yoshiomi Nakagami, Masatoshi Noumi, Yutaka Saburi, Kimio Ueno

Journal:

Letters in Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 368 KB

english, 1990

17

Unitary representations of the quantum group SUq(1,1): Structure of the dual space ofUq(sl(2))

Tetsuya Masuda, Katsuhisa Mimachi, Yoshiomi Nakagami, Masatoshi Noumi, Yutaka Saburi, Kimio Ueno

Journal:

Letters in Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 323 KB

english, 1990

18

Quantum 2-spheres and bigq-Jacobi polynomials

Masatoshi Noumi, Katsuhisa Mimachi

Journal:

Communications in Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 500 KB

english, 1990

19

Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials

Katsuhisa Mimachi, Yasuhiko Yamada

Journal:

Communications in Mathematical Physics

Year:

1995

Language:

english

File:

PDF, 330 KB

english, 1995

20

Intersection Numbers of Twisted Cycles Associated with the Selberg Integral and an Application to the Conformal Field Theory

Katsuhisa Mimachi, Masaaki Yoshida

Journal:

Communications in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 258 KB

english, 2004

21

A Solution of the Quantum Knizhnik Zamolodchikov Equation of TypeCn

Katsuhisa Mimachi

Journal:

Communications in Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 240 KB

english, 1998

22

Barnes-Type Integral and the Meixner–Pollaczek Polynomials

Katsuhisa Mimachi

Journal:

Letters in Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 105 KB

english, 1999

23

A Proof of Ramanujan’s Identity by Use of Loop Integrals

Mimachi, Katsuhisa

Journal:

SIAM Journal on Mathematical Analysis

Year:

1988

Language:

english

File:

PDF, 246 KB

english, 1988

24

THE JONES POLYNOMIAL AND THE INTERSECTION NUMBERS OF TWISTED CYCLES ASSOCIATED WITH A SELBERG TYPE INTEGRAL

MIMACHI, KATSUHISA

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2011

Language:

english

File:

PDF, 352 KB

english, 2011

25

REGULARIZABLE CYCLES ASSOCIATED WITH A SELBERG TYPE INTEGRAL UNDER SOME RESONANCE CONDITION

MIMACHI, KATSUHISA, YOSHIDA, MASAAKI

Journal:

International Journal of Mathematics

Year:

2007

Language:

english

File:

PDF, 193 KB

english, 2007

26

The connection problem associated with a Selberg type integral and the q-Racah polynomials

Mimachi, Katsuhisa

Journal:

Forum Mathematicum

Year:

2013

Language:

english

File:

PDF, 827 KB

english, 2013

27

10.1155/imrn.2005.2031

Mimachi, Katsuhisa

Journal:

International Mathematics Research Notices

Year:

2005

Language:

english

File:

PDF, 329 KB

english, 2005

28

10.1155/s1073792894000450

Mimachi, Katsuhisa

Journal:

International Mathematics Research Notices

Year:

1994

Language:

english

File:

PDF, 90 KB

english, 1994

29

10.1155/S1073792892000023

Aomoto, Kazuhiko, Kato, Yoshifumi, Mimachi, Katsuhisa

Journal:

International Mathematics Research Notices

Year:

1992

Language:

english

File:

PDF, 478 KB

english, 1992

30

The hypergeometric systems and the contiguity operators on the Grassmannian manifold and on the associated configuration space

Mimachi, Katsuhisa, Sasaki, Takeshi

Journal:

International Journal of Mathematics

Year:

2016

Language:

english

File:

PDF, 435 KB

english, 2016

31

Holonomic $q$-difference system associated with the basic hypergeometric series ${}_{n+1}\phi_n$

Mimachi, Katsuhisa

Journal:

Tohoku Mathematical Journal

Year:

1993

Language:

english

File:

PDF, 589 KB

english, 1993

32

Intersection numbers for loaded cycles associated with Selberg-type integrals

Mimachi, Katsuhisa, Ohara, Katsuyoshi, Yoshida, Masaaki

Journal:

Tohoku Mathematical Journal

Year:

2004

Language:

english

File:

PDF, 3.29 MB

english, 2004

33

Finite dimensional representations of the quantum group GLq(n; C) and the zonal spherical functions on Uq(n-1)_??_Uq(n)

NOUMI, Masatoshi, YAMADA, Hirofumi, MIMACHI, Katsuhisa

Journal:

Japanese Journal of Mathematics

Year:

1993

Language:

english

File:

PDF, 3.96 MB

english, 1993

34

Nakagiri's Monodromy Representations Associated with Appell's Hypergeometric Functions F2 and F3

Mimachi, Katsuhisa

Journal:

Funkcialaj Ekvacioj

Year:

2017

Language:

english

File:

PDF, 1.96 MB

english, 2017

35

Advanced Studies in Pure Mathematics [Mathematical Society of Japan Representation Theory, Special Functions and Painlevé Equations - Research Institute for Mathematical Sciences, Kyoto University ()] Representation Theory, Special Functions and Painlevé Equations — RIMS 2015 - Complex hypergeometric integrals

Mimachi, Katsuhisa

Year:

2018

File:

PDF, 131 KB

2018

36

Advanced Studies in Pure Mathematics [Mathematical Society of Japan Representation Theory, Special Functions and Painlevé Equations - Research Institute for Mathematical Sciences, Kyoto University ()] Representation Theory, Special Functions and Painlevé Equations — RIMS 2015 - Complex hypergeometric integrals

Mimachi, Katsuhisa

Year:

2018

Language:

english

File:

PDF, 131 KB

english, 2018

37

Connection problem in holonomic q -difference system associated with a Jackson integral of Jordan-Pochhammer type

Mimachi, Katsuhisa

Journal:

Nagoya Mathematical Journal

Year:

1989

Language:

english

File:

PDF, 808 KB

english, 1989

38

Connection problem in holonomic q -difference system associated with a Jackson integral of Jordan-Pochhammer type

Mimachi, Katsuhisa

Journal:

Nagoya Mathematical Journal

Year:

1989

File:

PDF, 808 KB

1989

39

ON A FUNDAMENTAL SET OF SOLUTIONS TO THE GENERALIZED HYPERGEOMETRIC EQUATION n+1En PRESENTED BY INTEGRALS OF EULER TYPE

MIMACHI, Katsuhisa

Journal:

Kyushu Journal of Mathematics

Year:

2016

Language:

english

File:

PDF, 188 KB

english, 2016