An Integral Associated with H-Function of Several Complex Variables
fox’s H-function, general polynomials, general class of multivariable polynomials, multivariable Hfunction, generalized Lauricella function, G-funct
Abstract
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.
Downloads
How to Cite
References
B Braaksma (1963) Asymptotic Expansions and Analytic Continuations for a Class of Barnes Integrals. 15, 239-341.
V Chaurasia, Anju Godika (1999) Fractional derivatives of certain special functions. 32(2), 103-109.
V Chaurasia, Ashok Shekhawat (2005) An integral involving general polynomials and the $H$-function of several complex variables. 36(3), 255-260.
S Goyal, S Mathur (1976) On Integrals Involving the H-function of two variables. 7, 347-358.
K Gupta, R Jain (1989) An Integral Involving a General Polynomial and Product of Fox's H-function having General Arguments. 3, 64-67.
R Saxena, S Purohit, Dinesh Kumar (1960) Integral Inequalities Associated with Gauss Hypergeometric Function Fractional Integral Operators. 88(1), 27-31.
Frédéric Ayant (1987) Some finite integrals and Fourier serie involving general class of polynomials, biorthogonal polynomials, Aleph-function and the multivariable Aleph-function. 33(4), 248-258.
H Srivastava, R Panda (1996) Some bilateral generating functions for a class of generalized hypergeometric polynomials.. 1976(283-284), 265-274.
H Srivastava (1985) A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials. 117(1), 183-191.
Published
2012-11-22
Issue
Section
License
Copyright (c) 2012 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.