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 related to the so-called q-hypergeometric functions, q-Bessel functions, q-trigonometric functions, q-Fox’s Hq-functions and polynomials of certain growth conditions. Results of concern are indeed a generalization of the presented notes of [16].