On q-Analogues of Mangontarum Transform of Some Polynomials and Certain Class of H-Functions

Abstract

In this paper, we investigate the q-analogues of the Mangontarum transform on certain class of functions of special type. We derive certain results involving q-hypergeometric functions, q-Bessel functions, q-trigonometric functions, q-Fox's H_{q}-functions and polynomials of certain growth conditions. Results that we obtain here generalize those known results of [16]. Some further results are also discussed.