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

Date

2014

Authors

Srivastava, Hari M.
Gaboury, Sébastien
Tremblay, Richard

Journal Title

Journal ISSN

Volume Title

Publisher

International Journal of Analysis

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.

Description

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Citation

Srivastava, H.M., Gaboury, S., & Tremblay, R. (2014). New Relations Involving an Extended Multiparameter Hurwitz-Lerch Zeta Function with Applications. International Journal of Analysis, Vol. 2014, Article ID 680850.