Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function

被引：5
|
作者：
Gaboury, S. [1 ]
Bayad, A. [2 ]
机构：
[1] Univ Quebec Chicoutimi, Dept Math & Comp Sci, Chicoutimi, PQ G7H 2B1, Canada
[2] Univ Evry Val dEssonne, Dept Math, F-91037 Evry, France
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
APOSTOL-EULER POLYNOMIALS; INTEGRAL-REPRESENTATIONS; RATIONAL ARGUMENTS; BERNOULLI; FORMULAS;
D O I：
10.1155/2013/975615
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for the generalized Hurwitz-Lerch zeta function obtained recently by Gaboury and Bayad, in this paper we present some series representations for these polynomials at rational arguments. These results provide extensions of those obtained by Apostol (1951) and by Srivastava (2000).
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页数：8
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