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

  • 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

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.

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

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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