Abstract and Applied Analysis

Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function

S. Gaboury and A. Bayad

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Abstract

By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for the generalized Hurwitz-Lerch zeta function obtained recently by Gaboury and Bayad , in this paper we present some series representations for these polynomials at rational arguments. These results provide extensions of those obtained by Apostol (1951) and by Srivastava (2000).

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 975615, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393443651

Digital Object Identifier
doi:10.1155/2013/975615

Mathematical Reviews number (MathSciNet)
MR3134156

Zentralblatt MATH identifier
1347.26021

Citation

Gaboury, S.; Bayad, A. Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 975615, 8 pages. doi:10.1155/2013/975615. https://projecteuclid.org/euclid.aaa/1393443651


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