Generalized Fractional Integration of the H-Function Involving General Class of Polynomials

Abstract

In the present paper, we consider 2 integral transforms involving the Appell function F 3 in the kernels. They generalize the fractional integral operators given by Saigo (1978). Formulas for compositions of such generalized fractional integrals with the product of the -function and a general class of polynomials are proved. The results are established in terms of -function due to Inayat-Hussain (1987(a), 1987(b)). The obtained results of this paper provide an extension of the results given by the literature. doi: 10.14456/WJST.2014.57