Some unified formulas and representations for the Apostol-type polynomials

被引：0
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作者：
Da-Qian Lu
Qiu-Ming Luo
机构：
[1] Taizhou University,Department of Mathematics and Information
[2] Chongqing Normal University,Department of Mathematics
来源：
Advances in Difference Equations | / 2015卷
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; 11B68; 11M35; 11B73; 33C05;
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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.
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