<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

On a Certain Extension of the Hurwitz-Lerch Zeta Function

Department of Mathematics Government College of Engineering and Technology Bikaner-334004 Rajasthan State India

Department of Mathematics M.P. University of Agriculture and Technology Udaipur 313002 Rajasthan State, India Present address: 10/11 Ganpati Vihar, Opposite Sector 5, Udaipur- 313002, Rajasthan State, India

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On a Certain Extension of the Hurwitz-Lerch Zeta Function"}

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...

On a Certain Extension of the Hurwitz-Lerch Zeta Function

Online veröffentlicht: 25. März 2015

Seitenbereich: 157 - 170

Eingereicht: 05. Nov. 2014

Akzeptiert: 29. Nov. 2014

DOI: https://doi.org/10.2478/awutm-2014-0017

Schlüsselwörter
Generalized Hurwitz-Lerch Zeta function, Extended Beta function, Extended hypergeometric function, Extended Hurwitz-Lerch Zeta function, Mellin Transform, Probability density function

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On a Certain Extension of the Hurwitz-Lerch Zeta Function

Online veröffentlicht: 25. März 2015

Seitenbereich: 157 - 170

Eingereicht: 05. Nov. 2014

Akzeptiert: 29. Nov. 2014

DOI: https://doi.org/10.2478/awutm-2014-0017

SchlüsselwörterGeneralized Hurwitz-Lerch Zeta function, Extended Beta function, Extended hypergeometric function, Extended Hurwitz-Lerch Zeta function, Mellin Transform, Probability density function

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Schlüsselwörter
Generalized Hurwitz-Lerch Zeta function, Extended Beta function, Extended hypergeometric function, Extended Hurwitz-Lerch Zeta function, Mellin Transform, Probability density function