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

作者：Wang Jingzhe^*

来源：Advances in Difference Equations, 2013, 2013(1): 247.

DOI：10.1186/1687-1847-2013-247

• Bernoulli numbers and polynomials
• Apostol-Bernoulli numbers and polynomials
• combinatorial identities

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.

• 出版日期2013
• 单位西北大学