A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava-Pinter addition theorem

被引：25

作者：

Tremblay, R. ^{[1
]}

Gaboury, S. ^{[2
]}

Fugere, B. -J. ^{[2
]}

机构：

[1] Univ Quebec, Dept Math & Informat, Chicoutimi, PQ G7H 2B1, Canada

[2] Royal Mil Coll Canada, Dept Math & Comp Sci, Kingston, ON K7K 5LO, Canada

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 11期

关键词：

Generalized Bernoulli polynomials; Generalized Euler polynomials; Generalized Apostol-Bernoulli polynomials; Generalized Apostol-Euler polynomials; Stirling numbers of the second kind; Generating functions; HURWITZ ZETA-FUNCTION; EULER POLYNOMIALS; HIGHER-ORDER; FORMULAS;

D O I：

10.1016/j.aml.2011.05.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to introduce and investigate a new class of generalized Apostol-Bernoulli polynomials based on a definition given by Natalini and Bernardini (2003) [22] for the generalized Bernoulli polynomials. We obtain a generalization of the Srivastava-Pinter addition theorem (Srivastava and Pinter (2004) [23]). We also give a list of expressions involving special functions that could be used to obtain some analogues of the Srivastava-Pinter addition theorem. Finally, we give an analogue featuring the new class of generalized Apostol-Bernoulli polynomials. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1888 / 1893

页数：6

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