Unified Apostol-Bernoulli, Euler and Genocchi polynomials

被引：61

作者：

Ozarslan, M. Ali ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Fac Arts Sci, Dept Math, TR-10 N Cyprus, Mersin, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 06期

关键词：

Apostol-Bernoulli polynomials; Apostol-Euler polynomials; Apostol-Genocchi polynomials; Gaussian hypergeometric function; Pfaff-Kummer transformation; Generalized multinomial identity; GENERATING-FUNCTIONS; (H; Q)-EXTENSION; EXTENSION; SYMMETRY; FORMULAS; NUMBERS; SUM;

D O I：

10.1016/j.camwa.2011.07.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a unified family of polynomials including not only the Apostol-Bernoulli, Euler and Genocchi polynomials, but also a general family of polynomials suggested by Ozden et al. [H. Ozden, Y. Simsek, H.M. Srivastava, A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials. Comput. Math. Appl. 60 (10) (2010) 2779-2787]. We obtain the explicit representation of this unified family, in terms of a Gaussian hypergeometric function. Some symmetry identities and multiplication formula are also given. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2452 / 2462

页数：11

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