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New Relations Involving an Extended Multiparameter Hurwitz-Lerch Zeta Function with Applications

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  • H. M. Srivastava
  • Sébastien Gaboury
  • Richard Tremblay

Abstract

We derive several new expansion formulas involving an extended multiparameter Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al. (2011). These expansions are obtained by using some fractional calculus methods such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and the generalized chain rule. Several (known or new) special cases are also given.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:ijanal:680850
    DOI: 10.1155/2014/680850
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Hiba Al-Janaby & Firas Ghanim & Maslina Darus, 2020. "On The Third-Order Complex Differential Inequalities of ξ -Generalized-Hurwitz–Lerch Zeta Functions," Mathematics, MDPI, vol. 8(5), pages 1-21, May.

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