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

Dinesh KUMAR; Praveen AGARWAL; Sunil Dutt PUROHIT

Authors

Dinesh KUMAR Department of Mathematics & Statistics, Jai Narain Vyas University, Jodhpur
Praveen AGARWAL Department of Mathematics, Anand International College of Engineering, Jaipur
Sunil Dutt PUROHIT Department of Basic Sciences, M.P. University of Agriculture and Technology, Udaipur

Keywords:

Generalized fractional calculus operators, H-function, Generalized Wright hypergeometric function, Generalized Wright-Bessel function, the poly-logarithm function, Generalized Riemann Zeta function and Whittaker function

Abstract

In the present paper, we consider 2 integral transforms involving the Appell function F₃ 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

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