Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials

被引：0
作者：
H. M. Srivastava
M. A. Özarslan
C. Kaanoğlu
机构：
[1] University of Victoria,Department of Mathematics and Statistics
[2] Eastern Mediterranean University Gazimağusa,Department of Mathematics, Faculty of Arts and Sciences
[3] Cyprus International University,Department of Mathematics, Faculty of Engineering
来源：
Russian Journal of Mathematical Physics | 2013年 / 20卷
关键词：
Zeta Function; Bernoulli Polynomial; Stirling Number; Euler Polynomial; Follow Generate Function;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we introduce a general family of Lagrange-based Apostol-type polynomials thereby unifying the Lagrange-based Apostol-Bernoulli and the Lagrange-based Apostol-Genocchi polynomials. We also define Lagrange-based Apostol-Euler polynomials via the generating function. In terms of these generalizations, we find new and useful relations between the unified family and the Apostol-Euler polynomials. We also derive their explicit representations and list some basic properties of each of them. Further relations between the above-mentioned polynomials, including a family of bilinear and bilateral generating functions, are given. Moreover, a generating relation involving the Stirling numbers of the second kind is derived.
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页码：110 / 120
页数：10
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