An extension of generalized Apostol-Euler polynomials

作者：Chen, Si; Cai, Yi; Luo, Qiu-Ming^*

来源：Advances in Difference Equations, 2013, 2013(1): 61.

DOI：10.1186/1687-1847-2013-61

• 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

Recently, Tremblay, Gaboury and Fugere 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.

• 出版日期2013-3-20
• 单位重庆师范大学