An Extension of the Mittag-Leffler Function and Its Associated Properties

Abstract

Inspired by certain fascinating ongoing extensions of the special functions such as an extension of the Pochhammer symbol and generalized hypergeometric function, we present a new extension of the generalized Mittag-Leffler (ML) function ϵa,b;p,vκz1 in terms of the generalized Pochhammer symbol. We then deliberately find certain various properties and integral transformations of the said function ϵa,b;p,vκz1. Some particular cases and outcomes of the main results are also established.