Ashok Singh Shekhawat

Research

An Integral Associated with H-Function of Several Complex Variables

Article November 22, 2012

The object of present paper is to derive an integral pertaining to a product of Fox’s H-function [1], generalized polynomials Srivastava [7], general class of multivariable polynomials Srivastava and Garg [8] and H-function of multivariables given by Srivastava and Panda [9] with general arguments of quadratic nature.This paper is capable of yielding numerous result involving classical orthogonal polynomials hitherto scattered in the literature.

Fractional Integration Associated With The Transcendental Functions

Article April 17, 2012

The aim of the present paper is to discuss a number of interesting classes of Eulerian integrals and the theorem based upon the fractional calculus associated with general class of polynomials given by Srivastava [4, P.1, Eq.(1)], generalized polynomials given by Srivastava [8, P.185, Eq.(7)] and the multivariable H-function given by Srivastava and Panda [13, P.271, eq.(4.1)]. The results derived here are of a very general nature and hence encompass several cases of interest hitherto scattered in the literature.