文章基本信息

标题：Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials
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作者：Mehmet Ali Özarslan
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：116
DOI：10.1186/1687-1847-2013-116
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we introduce a unified family of Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomials. We obtain some symmetry identities between these polynomials and the generalized sum of integer powers. We give explicit closed-form formulae for this unified family. Furthermore, we prove a finite series relation between this unification and 3d-Hermite polynomials. MSC:11B68, 33C05.
关键词：Hermite-based Apostol-Bernoulli polynomials ; Hermite-based Apostol-Euler polynomials ; Hermite-based Apostol-Genocchi polynomials ; generalized sum of integer powers ; generalized sum of alternative integer powers