摘要：Recently, a family of the Apostol-type polynomials was introduced by Luo and Srivastava (Appl. Math. Comput. 217:5702-5728 (2011)). In this paper, we further investigate the Apostol-type polynomials and obtain their unified multiplication formula and explicit representations in terms of the Gaussian hypergeometric function and the generalized Hurwitz zeta function. We also show some special cases, which include the corresponding results of Luo, Garg, Srivastava, Ozden, and Özarslan etc.
关键词：(generalized) Apostol-type polynomials ; Apostol-Euler polynomials ; Apostol-Bernoulli polynomials ; Genocchi polynomials of high order ; multiplication formula ; Gaussian hypergeometric function ; (generalized) Hurwitz zeta function
