On a Certain Extension of the Hurwitz-Lerch Zeta Function

Rakesh K. Parmar; R. K. Raina

doi:10.2478/awutm-2014-0017

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On a Certain Extension of the Hurwitz-Lerch Zeta Function

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 52 (2014): Issue 2 (December 2014)

By: Rakesh K. Parmar and R. K. Raina

Open Access

|Mar 2015

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2014-0017 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 157 - 170

Submitted on: Nov 5, 2014

Accepted on: Nov 29, 2014

Published on: Mar 25, 2015

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Generalized Hurwitz-Lerch Zeta function,

Extended Beta function,

Extended hypergeometric function,

Extended Hurwitz-Lerch Zeta function,

Mellin Transform,

Probability density function

Related subjects:

Mathematics,

General mathematics

© 2015 Rakesh K. Parmar, R. K. Raina, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 52 (2014): Issue 2 (December 2014)