An Integrals Involving the Multivariable H-Functions

Mithilesh K Mishra; Rajeev Shrivastava; Lakshmi N Mishra; SK Tiwari

Mithilesh K Mishra Department of Mathematics, Pt. S.N.S. Govt. P.G. College, Shahdol, (M.P.), India
Rajeev Shrivastava Department of Mathematics, Govt. I. G. H. S. Girls College, Shahdol, (M.P.), India
Lakshmi N Mishra Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India
SK Tiwari Department of Mathematics, L. E. College, Morbi, Gujarat, India

Keywords: Operator, Srivastava polynomial, M-series.

Abstract

The aim of this paper is to evaluate an infinite integral involving the product of multivariable H-functions along with Srivastava polynomial and M-series by means of finite difference operations E. As the generalized hypergeometric function and multivariable H-functions are of a very general nature, the integral, on specializing the parameters, leads to a generalization of many results some of which are known and other are believed to be new.

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