文章基本信息

标题：Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus
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作者：Hari M Srivastava ; Sébastien Gaboury ; Abdelmejid Bayad 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：169
DOI：10.1186/1687-1847-2014-169
语种：English
出版社：Hindawi Publishing Corporation
摘要：Motivated by the recent investigations of several authors, in this paper, we derive several new expansion formulas involving a generalized Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al. (Integral Transforms Spec. Funct. 22:487-506, 2011). These expansions are obtained by using some fractional calculus theorems such as the generalized Leibniz rules for the fractional derivatives and the Taylor-like expansions in terms of different functions. Several (known or new) special cases are also considered. MSC:11M25, 11M35, 26A33, 33C05, 33C60.
关键词：fractional derivatives ; generalized Taylor expansion ; generalized Hurwitz-Lerch zeta functions ; Riemann zeta function ; Leibniz rules