Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials

被引：0
|
作者：
Mohamed Amine Boutiche
Levent Kargin
Mourad Rahmani
机构：
[1] USTHB,Department of Mathematics
[2] Faculty of Mathematics,undefined
[3] Akdeniz University,undefined
来源：
Indian Journal of Pure and Applied Mathematics | 2019年 / 50卷
关键词：
Apostol-Bernoulli polynomials; Apostol-Euler polynomials; Hurwitz-Lerch-Zeta functions; recurrence relations; stirling numbers;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we give explicit expressions for generalized Apostol-Bernoulli and Apostol-Euler polynomials. As consequences, we deduce some explicit representations for other Apostol-type polynomials. Moreover, we find an algorithm based on a three-term recurrence for the calculation of generalized Apostol-Euler numbers and polynomials. As an application, we derive a formula for the values of some kinds of Hurwitz-Lerch Zeta functions at negative arguments.
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页码：1133 / 1145
页数：12
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