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.