Katsuhisa Mimachi

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Person:670886

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zbMath Open mimachi.katsuhisaWikidataQ11356790 ScholiaQ11356790MaRDI QIDQ670886

List of research outcomes

PublicationDate of PublicationType
The irreducibility of the monodromy representation associated with the Dotsenko-Fateev equation2024-03-26Paper
Yet another proof of Ramanujan’s ₁𝜓₁ sum2023-05-24Paper
INTEGRAL REPRESENTATIONS OF APPELL'S <i>F</i><sub>2</sub>, <i>F</i><sub>3</sub>, HORN'S <i>H</i><sub>2</sub> AND OLSSON'S <i>F<sub>P</sub></i> FUNCTIONS2020-09-01Paper
CONNECTION FORMULAS RELATED WITH APPELL'S <i>F</i><sub>2</sub>, HORN'S <i>H</i><sub>2 </sub>AND OLSSON'S <i>F</i><i><sub>P </sub></i>FUNCTIONS2020-09-01Paper
Complex hypergeometric integrals2019-03-20Paper
Nakagiri's Monodromy Representations Associated with Appell's Hypergeometric Functions <i>F</i><sub>2</sub> and <i>F</i><sub>3</sub>2018-01-12Paper
SOLUTIONS IN TERMS OF INTEGRALS OF MULTIVALUED FUNCTIONS FOR THE CLASSICAL HYPERGEOMETRIC EQUATIONS AND THE HYPERGEOMETRIC SYSTEM ON THE CONFIGURATION SPACE2016-12-23Paper
ON A FUNDAMENTAL SET OF SOLUTIONS TO THE GENERALIZED HYPERGEOMETRIC EQUATION <b><i><sub>n</sub></i></b><b><sub>+</sub></b><sub>1</sub><b><i>E</i></b><b><i><sub>n </sub></i></b>PRESENTED BY INTEGRALS OF EULER TYPE2016-12-23Paper
The hypergeometric systems and the contiguity operators on the Grassmannian manifold and on the associated configuration space2016-07-20Paper
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 REDUCIBILITY2016-06-03Paper
REDUCIBILITY OF THE SYSTEMS OF DIFFERENTIAL EQUATIONS SATISFIED BY APPELL'S <b><i>F</i></b><sub>2</sub><b><i>,F</i></b><sub>3 </sub>AND <b><i>F</i></b><sub>4 </sub>2015-12-11Paper
The connection problem associated with a Selberg type integral and the q-Racah polynomials2013-12-17Paper
MONODROMY REPRESENTATIONS ASSOCIATED WITH THE GAUSS HYPERGEOMETRIC FUNCTION USING INTEGRALS OF A MULTIVALUED FUNCTION2013-02-14Paper
IRREDUCIBILITY AND REDUCIBILITY OF LAURICELLA' S SYSTEM OF DIFFERENTIAL EQUATIONS ED AND THE JORDAN-POCHHAMMER DIFFERENTIAL EQUATION EJP2013-02-14Paper
MONODROMY REPRESENTATIONS ASSOCIATED WITH APPELL' S HYPERGEOMETRIC FUNCTION F1 USING INTEGRALS OF A MULTIVALUED FUNCTION2013-02-14Paper
https://portal.mardi4nfdi.de/entity/Q29064342012-09-05Paper
A Connection Problem for Simpson's Even Family of Rank Four2011-12-28Paper
Intersection Numbers for Twisted Cycles and the Connection Problem Associated with the Generalized Hypergeometric Function n+1Fn2011-05-30Paper
THE JONES POLYNOMIAL AND THE INTERSECTION NUMBERS OF TWISTED CYCLES ASSOCIATED WITH A SELBERG TYPE INTEGRAL2011-05-19Paper
Connection Matrices Associated with the Generalized Hypergeometric Function 3F22008-11-14Paper
Jackson's integral of the Hurwitz zeta function2007-08-07Paper
REGULARIZABLE CYCLES ASSOCIATED WITH A SELBERG TYPE INTEGRAL UNDER SOME RESONANCE CONDITION2007-06-20Paper
https://portal.mardi4nfdi.de/entity/Q57172132006-01-12Paper
A GENERALIZATION OF THE BETA INTEGRAL ARISING FROM THE KNIZHNIK-ZAMOLODCHIKOV EQUATION FOR THE VECTOR REPRESENTATIONS OF TYPES <i>B<sub>n</sub></i>, <i>C<sub>n</sub></i> AND <i>D<sub>n</sub></i>2005-07-05Paper
Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory2005-04-18Paper
Intersection numbers for loaded cycles associated with Selberg-type integrals2005-04-15Paper
https://portal.mardi4nfdi.de/entity/Q48242242004-11-01Paper
Intersection theory for loaded cycles IV— resonant cases2004-02-12Paper
The reciprocity relation of the Selberg function.2003-11-20Paper
Intersection numbers of twisted cycles and the correlation functions of the conformal field theory2003-08-17Paper
A duality of MacDonald-Koornwinder polynomials and its application to integral representations2002-10-27Paper
https://portal.mardi4nfdi.de/entity/Q43300302002-05-15Paper
Integral representations of the Wilson polynomials and the continuous dual Hahn polynomials2000-08-21Paper
Askey-Wilson polynomials by means of a \(q\)-Selberg type integral2000-08-16Paper
Barnes-type integral and the Meixner-Pollaczek polynomials2000-05-04Paper
A multidimensional generalization of the Barnes integral and the continuous Hahn polynomial2000-03-27Paper
A reproducing kernel for nonsymmetric Macdonald polynomials2000-03-27Paper
https://portal.mardi4nfdi.de/entity/Q47041551999-12-02Paper
Eigenfunctions of MacDonald's \(q\)-difference operator for the root system of type \(C_n\)1999-09-30Paper
A solution of the quantum Knizhnik Zamolodchikov equation of type \(C_n\).1999-06-30Paper
https://portal.mardi4nfdi.de/entity/Q42092451998-11-19Paper
https://portal.mardi4nfdi.de/entity/Q44004561998-08-03Paper
A solution to quantum Knizhnik-Zamolodchikov equations and its application to eigenvalue problems of the Macdonald type1998-01-28Paper
An integral representation of eigenfunctions for Macdonald's \(q\)-difference operators1997-01-01Paper
Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials1996-08-06Paper
https://portal.mardi4nfdi.de/entity/Q48723101996-05-05Paper
A HYPERGEOMETRIC INTEGRAL ATTACHED TO THE CONFIGURATION OF THE MIRRORS OF THE REFLECTION GROUP Sn+2 ACTING ON Pn1996-03-26Paper
Reductibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral1996-03-17Paper
One-point functions of the XXZ model and Ramanujan's 1Psi1sum1995-12-14Paper
https://portal.mardi4nfdi.de/entity/Q47639581995-10-08Paper
https://portal.mardi4nfdi.de/entity/Q42807221995-02-20Paper
Holonomic \(q\)-difference system of the first order associated with a Jackson integral of Selberg type1994-12-01Paper
Holonomic \(q\)-difference system associated with the basic hypergeometric series \(_{n+1}\varphi_ n\)1994-10-25Paper
Askey-wilson polynomials as spherical functions on SU q(2)1992-09-27Paper
https://portal.mardi4nfdi.de/entity/Q39938381992-08-13Paper
https://portal.mardi4nfdi.de/entity/Q39940261992-08-13Paper
Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials1992-06-26Paper
https://portal.mardi4nfdi.de/entity/Q39735921992-06-26Paper
Big \(q\)-Jacobi polynomials, \(q\)-Hahn polynomials, and a family of quantum 3-spheres1992-06-25Paper
Rogers's \(q\)-ultraspherical polynomials on a quantum \(2\)-sphere1992-06-25Paper
Quantum 2-spheres and big q-Jacobi polynomials1990-01-01Paper
Unitary representations of the quantum group \(\text{SU}_q(1,1)\): structure of the dual space of \({\mathcal U}_q(\mathfrak{sl}(2))\)1990-01-01Paper
Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions1990-01-01Paper
Askey-Wilson polynomials and the quantum group \(SU_ q(2)\)1990-01-01Paper
Zonal spherical functions on the quantum homogeneous space \(\text{SU}_ q(n+1)/\text{SU}_ q(n)\)1989-01-01Paper
Connection problem in holonomicq-difference system associated with a Jackson integral of Jordan-Pochhammer type1989-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38074501988-01-01Paper
A Proof of Ramanujan’s Identity by Use of Loop Integrals1988-01-01Paper

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