Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables

Abstract

The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function. To strengthen the main results we also consider some important special cases.

Keywords

• gamma function
• beta function
• hypergeometric function
• generalized hurwitz-lerch zeta function