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