期刊论文详细信息
Advances in Difference Equations | |
An extension of generalized Apostol-Euler polynomials | |
Qiu-Ming Luo1  Si Chen1  Yi Cai2  | |
[1] Department of Mathematics, Chongqing Normal University, Chongqing Higher Education Mega Center, Huxi Campus, Chongqing, People’s Republic of China | |
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; | |
DOI : 10.1186/1687-1847-2013-61 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 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. MSC:11B68, 11B73, 33C45.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904021382361ZK.pdf | 250KB | download |