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

S. Gaboury and A. Bayad

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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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https://doi.org/10.1155/2013/975615

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:975615

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