On Composition of Multidimensional Integral Operators Involving General Polynomials and a Multivariable H-Function

TLDR: In this article, Goyal et al. obtained three new and interesting composition formulae of a class of multidimensional fractional integral operators involving the product of the generalized polynomials and the multivariable H-function.

Abstract: In the present paper we obtain three new and interesting composition formulae of a class of multidimensional fractional integral operators involving the product of the generalized polynomials and the multivariable H-function. On account of the most general nature of the functions used here as kernels, the main results of our paper are unified in nature and capable of yielding a very large number of corresponding results (new and known) involving simpler special functions and polynomials (of one or more variables) as special cases of our formulae. We give here exact references of the five results obtained by [1], Goyal and Jain [10], Gupta and Jain [9], Goyal et al.[11], Srivastava et al.[5] which follow as special case of our findings. Thus the present study unifies and extends a number of composition formulae lying scattered in the literature.