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. Preprints2018, 2018030008. https://doi.org/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. https://doi.org/10.20944/preprints201803.0008.v1
Rahman, G.; Nisar, K.; Mubeen, S. A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties. Preprints2018, 2018030008. https://doi.org/10.20944/preprints201803.0008.v1
APA Style
Rahman, G., Nisar, K., & Mubeen, S. (2018). A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties. Preprints. https://doi.org/10.20944/preprints201803.0008.v1
Chicago/Turabian Style
Rahman, G., KS Nisar and Shahid Mubeen. 2018 "A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties" Preprints. https://doi.org/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.
Keywords
Extended beta function, hypergeometric functions, Hurwitz-Lerch Zeta functions, Mellin transform, transformation formula and summation formula.
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
