New recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials

Advances in Difference Equations

Jingzhe Wang¹ 

[1] Department of Mathematics, Northwest University, Xi’an, Shaanxi, People’s Republic of China

关键词: Bernoulli numbers and polynomials;    Apostol-Bernoulli numbers and polynomials;    combinatorial identities;   

DOI  :  10.1186/1687-1847-2013-247

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The main purpose of this paper is by using the generating function methods and some combinatorial techniques to establish some new recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials. It turns out that some known results in (He and Wang in Adv. Differ. Equ. 2012:209, 2012) are obtained as special cases. MSC:11B68, 05A19.

【 授权许可】

CC BY