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

H. M. Srivastava, Sébastien Gaboury and Richard Tremblay

International Journal of Analysis, 2014, vol. 2014, 1-14

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:680850

DOI: 10.1155/2014/680850

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