An extension of generalized Apostol-Euler polynomials

被引：0
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作者：
Si Chen
Yi Cai
Qiu-Ming Luo
机构：
[1] Chongqing Higher Education Mega Center,Department of Mathematics, Chongqing Normal University
[2] Huxi Campus,undefined
来源：
Advances in Difference Equations | / 2013卷
关键词：
Bernoulli, Euler and Genocchi polynomials; generating functions; generalized Apostol-Euler and Apostol-Bernoulli polynomials; Jacobi polynomials; Laguerre polynomials; Hermite polynomials; Stirling numbers of the second kind;
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摘要：
Recently, Tremblay, Gaboury and Fugère introduced a class of the generalized Bernoulli polynomials (see Tremblay in Appl. Math. Let. 24:1888-1893, 2011). In this paper, we introduce and investigate an extension of the generalized Apostol-Euler polynomials. We state some properties for these polynomials and obtain some relationships between the polynomials and Apostol-Bernoulli polynomials, Stirling numbers of the second kind, Jacobi polynomials, Laguerre polynomials, Hermite polynomials and generalized Bernoulli polynomials.
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