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

S. Gaboury and A. Bayad

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

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).

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:975615

DOI: 10.1155/2013/975615

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