## Abstract and Applied Analysis

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

#### 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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