Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties

Version 1 : Received: 28 February 2018 / Approved: 1 March 2018 / Online: 1 March 2018 (14:46:40 CET)

How to cite: Rahman, G.; Nisar, K.; Mubeen, S. A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties. Preprints 2018, 2018030008 (doi: 10.20944/preprints201803.0008.v1). Rahman, G.; Nisar, K.; Mubeen, S. A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties. Preprints 2018, 2018030008 (doi: 10.20944/preprints201803.0008.v1).

Abstract

In this paper, we define a (p,v)-extension of Hurwitz-Lerch Zeta function by considering an extension of beta function defined by Parmar et al. [J. Classical Anal. 11 (2017) 81–106]. We obtain its basic properties which include integral representations, Mellin transformation, derivative formulas and certain generating relations. Also, we establish the special cases of the main results.

Subject Areas

Extended beta function, hypergeometric functions, Hurwitz-Lerch Zeta functions, Mellin transform, transformation formula and summation formula.

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