MULTIVARIABLE I-FUNCTION OF RELATING SOME MULTIPLES INTEGRALS

Print ISSN: 2319-1023

Abstract

Recently Kushwah et al [1] have provided closed-form expressions for a number of general integrals involving the I-function of two variables. Motivated by this recent work, we establish several multiples integrals involving the products of the generalized multivariable I-function in terms of multiple Mellin-Barnes type contour integral. Some attractives integrals involving the product of orthogonal polynomials and generalized hypergeometric function have also been obtained as particular cases of the main results.

Keywords and Phrases

Generalized multivariable I-function, multiple integral, Jacobi polynomial, Legendre function, Hermite polynomial , Generalized hypergeometric function.

A.M.S. subject classification

33C99, 33C60, 44A20.

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