Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties

Ahmed Ali Al-Gonah; Waleed Khadher Mohammed

Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties

Authors

Ahmed Ali Al-Gonah Department of Mathematics, Faculty of Science, Aden University, Aden, Yemen
Waleed Khadher Mohammed Department of Mathematics, Faculty of Education-Yafea, Aden University, Aden, Yemen

Keywords:

Extended Beta function, extended Hurwitz-Lerch Zeta function, recurrence relation, generating functions, integral representation.

Abstract

The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.

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Electronic Journal of University of Aden For Basic and Applied Sciences

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Published

2020-03-07

How to Cite

Al-Gonah, A. A., & Mohammed, W. K. (2020). Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties. Electronic Journal of University of Aden for Basic and Applied Sciences, 1(1), 39–48. Retrieved from https://ejua.net/index.php/EJUA-BA/article/view/9