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Product of Hessians and Discriminant of Critical Points of Level Function Attached to Sphere Arrangement

Symmetry (Basel), 2022-02, Vol.14 (2), p.374

2022

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Generalization of Schläfli formula to the volume of a spherically faced simplex

Journal of the Mathematical Society of Japan, 2020-01, Vol.72 (1)

2020

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The sigma function over a family of curves with a singular fiber

Israel journal of mathematics, 2022-10, Vol.250 (1), p.345-402

2022

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Double filtration of twisted logarithmic complex and Gauss–Manin connection

Journal of the Mathematical Society of Japan, 2015, Vol.67 (2), p.609-636

2015

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Some problems of hypergeometric integrals associated with hypersphere arrangement

Proceedings of the Japan Academy. Series A. Mathematical sciences, 2015-06, Vol.91 (6), p.77-81

2015

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Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants

Hokkaido mathematical journal, 2020-01, Vol.49 (1)

2020

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Theory of Hypergeometric Functions

1. Aufl., 2011

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Integral representations and holonomic q-difference structure of Askey–Wilson type functions

The Ramanujan journal, 2013-08, Vol.31 (3), p.239-255

Aomoto, Kazuhiko

2013

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Gauss-Manin connections of Schlafli type for hypersphere arrangements

Annales de l'Institut Fourier, 2003, Vol.53 (4), p.977-995

AOMOTO, Kazuhiko

2003

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Some problems of hypergeometric integrals associated with hypersphere arrangement

Proceedings of the Japan Academy. Series A. Mathematical sciences, 2015-06, Vol.91A (6), p.77

2015

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Structure of Jackson Integrals of $BC_n$ Type

Tokyo journal of mathematics, 2008-12, Vol.31 (2), p.449-477

2008

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On the structure of Jackson integrals of $BC_n$ type and holonomic $q$-difference equations

Proceedings of the Japan Academy. Series A. Mathematical sciences, 2005-11, Vol.81 (9), p.145-150

2005

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A determinant formula for a holonomic q-difference system associated with Jackson integrals of type BC n

Advances in mathematics (New York. 1965), 2009-07, Vol.221 (4), p.1069-1114

2009

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Special values of hyperlogarithms and linear difference schemes

Illinois journal of mathematics, 1990-06, Vol.34 (2)

Aomoto, Kazuhiko

1990

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INTEGRAL REPRESENTATION FOR THE GR AND PARTITION FUNCTION IN QUANTUM STATISTICAL MECHANICS OF EXCLUSION STATISTICS

International journal of modern physics. B, Condensed matter physics, statistical physics, applied physics, 2000-02, Vol.14 (5), p.485-506

2000

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Twisted de Rham Cohomology Groups of Logarithmic Forms

Advances in mathematics (New York. 1965), 1997-06, Vol.128 (1), p.119-152

1997

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On a unitary version of Suzuki's exponential product formula

Journal of the Mathematical Society of Japan, 1996, Vol.48 (3), p.493-499

AOMOTO, Kazuhiko

1996

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Gauss-Manin connection of integral of difference products

Journal of the Mathematical Society of Japan, 1987, Vol.39 (2), p.191-208

AOMOTO, Kazuhiko

1987

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Connection formula of symmetric A-type Jackson integrals

Duke mathematical journal, 1994-04, Vol.74 (1)

1994

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Finiteness of a cohomology associated with certain Jackson integrals

Tôhoku mathematical journal, 1991, Vol.43 (1)

Aomoto, Kazuhiko

1991

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Configurations and Invariant Gauss-Manin Connections of Integrals I

Tokyo journal of mathematics, 1982-12, Vol.5 (2), p.249-287

AOMOTO, Kazuhiko

1982

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Integrable system of the heat kernel associated with logarithmic potentials

Annales Polonici mathematici, 2000, Vol.74, p.51-64

Aomoto, Kazuhiko

2000

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Open Problems and Conjectures: Analytic Difference Equations and Connection Problems

Journal of difference equations and applications, 1998-01, Vol.4 (6), p.597-603

Aomoto, Kazuhiko

1998

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On vanishing of cohomology attached to certain many valued meromorphic functions

Journal of the Mathematical Society of Japan, 1975-01, Vol.27 (2), p.248-255

AOMOTO, Kazuhiko

1975

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Errata to ``Configurations and Invariant Gauss-Manin Connections of Integrals I, II'' (Tokyo Journal of Mathematics, Vol. 5 (1982), pp. 249-287; Vol. 6 (1983), pp. 1-24)

Tokyo journal of mathematics, 1999-12, Vol.22 (2), p.511-512

AOMOTO, Kazuhiko

1999

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Product of Hessians and Discriminant of Critical Points of Level Function Attached to Sphere Arrangement

Generalization of Schläfli formula to the volume of a spherically faced simplex

The sigma function over a family of curves with a singular fiber

Double filtration of twisted logarithmic complex and Gauss–Manin connection

Some problems of hypergeometric integrals associated with hypersphere arrangement

Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants

Theory of Hypergeometric Functions

Integral representations and holonomic q-difference structure of Askey–Wilson type functions

Gauss-Manin connections of Schlafli type for hypersphere arrangements

Some problems of hypergeometric integrals associated with hypersphere arrangement

Structure of Jackson Integrals of $BC_n$ Type

On the structure of Jackson integrals of $BC_n$ type and holonomic $q$-difference equations

A determinant formula for a holonomic q-difference system associated with Jackson integrals of type BC n

Special values of hyperlogarithms and linear difference schemes

INTEGRAL REPRESENTATION FOR THE GR AND PARTITION FUNCTION IN QUANTUM STATISTICAL MECHANICS OF EXCLUSION STATISTICS

Twisted de Rham Cohomology Groups of Logarithmic Forms

On a unitary version of Suzuki's exponential product formula

Gauss-Manin connection of integral of difference products

Connection formula of symmetric A-type Jackson integrals

Finiteness of a cohomology associated with certain Jackson integrals

Configurations and Invariant Gauss-Manin Connections of Integrals I

Integrable system of the heat kernel associated with logarithmic potentials

Open Problems and Conjectures: Analytic Difference Equations and Connection Problems

On vanishing of cohomology attached to certain many valued meromorphic functions

Errata to ``Configurations and Invariant Gauss-Manin Connections of Integrals I, II'' (Tokyo Journal of Mathematics, Vol. 5 (1982), pp. 249-287; Vol. 6 (1983), pp. 1-24)

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