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

Abstract

The main object of this paper is to introduce a new extension of the generalized Hurwitz-Lerch Zeta functions of two variables. We then systematically investigate such its several interesting properties and related formulas as (for example) various integral representations, which provide certain new and known extensions of earlier corresponding results, and a summation formula.
We further consider an application to probability distributions and some important special cases.