期刊论文详细信息
Advances in Difference Equations | |
Some unified formulas and representations for the Apostol-type polynomials | |
Da-Qian Lu1  Qiu-Ming Luo3  | |
[1] Department of Mathematics and Information, Taizhou University, Taizhou, People’Department of Mathematics, Chongqing Normal University, Chongqing, People’s Republic of China | |
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; | |
DOI : 10.1186/s13662-015-0480-0 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904023084671ZK.pdf | 1431KB | download |