文章基本信息

标题：Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials
本地全文：下载
作者：Sebastien Gaboury
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：361
DOI：10.1186/1687-1847-2013-361
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we present three new expansion formulas for the generalized Hurwitz-Lerch zeta function. These expansions are obtained by using Taylor-like expansions involving fractional derivatives. Finally, interesting special cases involving the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials are also given. MSC:26A33, 11M35, 33C05, 11B68.
关键词：fractional derivatives ; generalized Taylor expansion ; generalized Hurwitz-Lerch zeta functions ; Riemann zeta function ; generalized Apostol-Bernoulli polynomials ; generalized Apostol-Euler polynomials