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

Journal: Electronic Journal of University of Aden for Basic and Applied Sciences (EJUA-BA) (Vol.3, No. 1)

Publication Date: 2020-09-30

Authors : Salem Saleh Barahmah;

Page : 120-127

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

Source : Download Find it from : Google Scholar

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

Abstract

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