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.
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
