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