Recurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials

Advances in Difference Equations

Yuan He¹  Chunping Wang² 

[1] Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan, People’s Republic of China

关键词: Apostol-Bernoulli polynomials and numbers;    Apostol-Euler polynomials and numbers;    recurrence formula;   

DOI  :  10.1186/1687-1847-2012-209

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, using generating functions and combinatorial techniques, we extend Agoh and Dilcher’s quadratic recurrence formula for Bernoulli numbers in (Agoh and Dilcher in J. Number Theory 124:105-122, 2007) to Apostol-Bernoulli and Apostol-Euler polynomials and numbers. MSC:11B68, 05A19.

【 授权许可】

CC BY