Fractional Integration of the Product of Two H-functions and a General Class of Polynomials

Abstract

The aim of the present paper to study and develop the generalized fractional integral operators recently introduce by Saigo [5]. First, author establish two results that give the image of the products of two H-functions and a general class of polynomials in Saigo operators. These results, besides being of very general character have been put in a compact form avoiding the occurrence of in…nite series and thus making them useful in applications. Our …ndings provide interesting uni…cations and extensions of a number of (new and known) images. For the sake of illustration, we give here exact references to the results (in essence) of eight research papers [1, 2, 3, 4, 7, 8, 10 and 11] that follow as particular cases of our …ndings.