Generating Function Involving General Function Related to Hurwitz- Lerch Zeta Function

Abstract

In this paper, we have studied a general function which unifies the Hurwitz-Lerch Zeta function and Mittage-Leffler function. The integral representation of the function and certain generating functions involving this general function are established. A mild extension of this
general function is also presented in this paper. The generating functions for this extended function are also studied in this paper. Certain known results involving Hurwitz-Lerch Zeta function for several parameters are shown to be obtained here.