Generalized fractional operators and their image formulas

Abstract

Numerous image formulae for a diversity of polynomials and functions subjected to a variety of fractional integrals and derivatives have been given. In this paper, we aimto construct image formulae for the product of incomplete H-functions and a general class of polynomials under the Katugampola fractional integral and derivative operators . We also provide some particular instances of our main findings in corollaries, among many others.