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

Advances in Difference Equations

Yuan He²  Serkan Araci³ 

[1] Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep, Turkey;Faculty of Science, Kunming University of Science and Technology, Kunming, People’s Republic of China

关键词: Bernoulli polynomials and numbers;    Euler polynomials and numbers;    Apostol-Bernoulli polynomials and numbers;    Apostol-Euler polynomials and numbers;    summation formulae;   

DOI  :  10.1186/1687-1847-2014-155

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:11B68, 05A19.

【 授权许可】

CC BY