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The cohomological structure of hypersphere arragnements is given. The Gauss-Manin connections for related hypergeometrtic integrals are given in terms of invariant forms. They are used to get the explicit differential formula for the volume of a simplex whose faces are hyperspheres.

Hecke algebras and hypergeometric functions.

G.J. Heckman (1990)

Inventiones mathematicae

Hyperlogarithmic expansion and the volume of a hyperbolic simplex

K. Aomoto (1992)

Banach Center Publications

Intertwining Operators and Polynomials Associated with the Symmetric Group.

Charles F. Dunkl (1998)

Monatshefte für Mathematik

$K$ -Bessel functions in two variables.

Dib, Hacen (2003)

International Journal of Mathematics and Mathematical Sciences

Monodromy of the hypergeometric differential equation of type (3,6) II. The unitary reflection group of order $2^{9} . 3^{7} . 5 . 7$

Keiji Matsumoto, Takeshi Sasaki, Nobuki Takayama, Masaaki Yoshida (1993)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On a Class of Generalized Elliptic-type Integrals

Garg, Mridula, Katta, Vimal, Kalla, S. (2001)

Serdica Mathematical Journal

The aim of this paper is to study a generalized form of elliptic-type integrals which unify and extend various families of elliptic-type integrals studied recently by several authors. In a recent communication [1] we have obtained recurrence relations and asymptotic formula for this generalized elliptic-type integral. Here we shall obtain some more results which are single and multiple integral formulae, differentiation formula, fractional integral and approximations for this class of generalized...

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An analytic formula for the $A_{2}$ Jack polynomials.

An integral for the product of two Selberg-Jack symmetric polynomials

Certain classes of multiple generating functions for some sets of polynomials in several variables

Cohomological interpretation of hypergeometric series

Derivative operator on a hypergeometric function of three complex variables.

Discrete orthogonality of Zernike functions.

Dunkl operators

Entrelacs toriques itérés et intégrales associées à une courbe plane

Gauss-Manin connections of Schläfli type for hypersphere arrangements

Hecke algebras and hypergeometric functions.

Hyperlogarithmic expansion and the volume of a hyperbolic simplex

Intertwining Operators and Polynomials Associated with the Symmetric Group.

$K$ -Bessel functions in two variables.

Monodromy of the hypergeometric differential equation of type (3,6) II. The unitary reflection group of order $2^{9} . 3^{7} . 5 . 7$

On a Class of Generalized Elliptic-type Integrals

On Decompositions of Some Random Variables.

On p-adic monodromy.

Permutable functions.

Permutable polynomials for several variables.

q-fractional differentiation and basic hypergeometric transformations

Currently displaying 1 – 20 of 28