On a Certain Extension of the Hurwitz-Lerch Zeta Function

Parmar, Rakesh K.; Raina, R. K.

doi:10.2478/awutm-2014-0017

Abstract

Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential formula, Mellin transforms and certain generating relations. We further consider an application to probability distributions and also point out some important special cases of the main results.

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On a Certain Extension of the Hurwitz-Lerch Zeta Function

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