Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties

Abstract

The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.

Keywords

• extended beta function, extended hurwitz-lerch zeta function, recurrence relation, generating functions, integral representation.