Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials

被引：11
|
作者：
He, Yuan [1 ]
Araci, Serkan [2 ]
机构：
[1] Kunming Univ Sci & Technol, Fac Sci, Kunming 650500, Yunnan, Peoples R China
[2] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, TR-27410 Gaziantep, Turkey
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
Bernoulli polynomials and numbers; Euler polynomials and numbers; Apostol-Bernoulli polynomials and numbers; Apostol-Euler polynomials and numbers; summation formulae; EXPLICIT FORMULA; IDENTITIES; NUMBERS;
D O I：
10.1186/1687-1847-2014-155
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a further investigation for the Apostol-Bernoulli and Apostol-Euler polynomials and numbers is performed. Some closed formulae of sums of products of any number of Apostol-Bernoulli and Apostol-Euler polynomials and numbers are established by applying the generating function methods and some summation transform techniques. It turns out that some well-known results are derived as special cases.
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页数：13
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