A Generalized Mittag-Leffler Type Function with Four Parameters

Mridula Garg, Ajay Sharma, Pratibha Manohar

Abstract

In the present paper, we introduce and study a generalization of Mittag-Leffler type functions. We obtain several results which include integral representations, recurrence relations, differential formula, fractional derivative and integral, Mellin Barnes integral representation and images of this function under the Laplace and Mellin transforms. We also introduce and investigate fractional calculus integral operator involving this generalized Mittag-Leffler type function.