New Expansion Formulas for a Family of the -Generalized Hurwitz-Lerch Zeta FunctionsReportar como inadecuado




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International Journal of Mathematics and Mathematical Sciences - Volume 2014 2014, Article ID 131067, 13 pages -

Research Article

Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 3R4

Department of Mathematics and Computer Science, University of Québec at Chicoutimi, Chicoutimi, QC, Canada G7H 2B1

Received 17 April 2014; Accepted 26 May 2014; Published 26 June 2014

Academic Editor: Serkan Araci

Copyright © 2014 H. M. Srivastava and Sébastien Gaboury. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We derive several new expansion formulas for a new family of the λ-generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava 2014. These expansion formulas are obtained by making use of some importantfractional calculus theorems such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and thegeneralized chain rule. Several known or new special cases are also considered.





Autor: H. M. Srivastava and Sébastien Gaboury

Fuente: https://www.hindawi.com/



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