A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

Salem Saleh Barahmah

doi:10.47372/ejua-ba.2020.3.33

A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

Authors

Salem Saleh Barahmah Department of Mathematics, Faculty of Education-Aden, Aden University, Aden, Yemen.

DOI:

https://doi.org/10.47372/ejua-ba.2020.3.33

Keywords:

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

Abstract

The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.

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Published

2020-09-30

How to Cite

Barahmah, S. S. (2020). A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\). Electronic Journal of University of Aden for Basic and Applied Sciences, 1(3), 120–127. https://doi.org/10.47372/ejua-ba.2020.3.33