Modified Saigo fractional integral operators involving multivariable H-function and general class of multivariable polynomials

Abstract

In this paper, we establish modified Saigo fractional integral operators involving the product of a general class of multivariable polynomials and the multivariable H-function. The results established here are of general nature and provide extension of some results obtained recently by Saxena et al.

Finite Integral Formulas Involving Multivariable Aleph-Functions

“…For the definition of the H-function, ℵ-function, and its more generalization, the interested reader may refer to the papers [6][7][8][9][10][11][12][13].…”

FRACTIONAL INTEGRALS FOR THE PRODUCT OF SRIVASTAVA'S POLYNOMIAL AND (p; q) - EXTENDED HYPERGEOMETRIC FUNCTION

“…Further, replacing ν by −µ in Corollary 2.1 and 2.2 and making use of the relations ( 18) and (20) gives the other Riemann-Liouville and Weyl fractional integrals of the extended hypergeometric function in (4) given by the following Corollaries.…”

“…Extensions, generalizations and unifications of Euler's Beta together with related higher transcendent hypergeometric type special functions were investigated recently by several authors, consult for instance (see, e.g., [1], [2], [6], [20]) and for a very recent work (see also, [9], [10]). In particular, Chaudhry et al [1,p.…”

The Multivariable Aleph-function involving the Generalized Mellin-Barnes Contour Integrals

“…Therefore they are of high interest to physicists and engineers as well as mathematicians. In recent years, many integral formulas involving a diversity of special functions have been presented by many authors (see e.g., [3,9,12,13,14,15,16]). Motivated by these recent papers, three generalized integral formulae involving product of two hypergeometric functions and multivariable Aleph-function are established in the form of three theorems:…”