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
收藏
页码：2452 / 2462
页数：11
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