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

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  • S. Gaboury
  • A. Bayad

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).

Suggested Citation

  • S. Gaboury & A. Bayad, 2013. "Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, November.
    • Handle: RePEc:hin:jnlaaa:975615
    DOI: 10.1155/2013/975615
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    Cited by:

    1. H. M. Srivastava & Sébastien Gaboury & Richard Tremblay, 2014. "New Relations Involving an Extended Multiparameter Hurwitz-Lerch Zeta Function with Applications," International Journal of Analysis, Hindawi, vol. 2014, pages 1-14, May.

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