Some properties of the generalized Apostol-type polynomials
1 Department of Mathematics, Yangzhou University, Yangzhou, Jiangsu, 225002, People’s Republic of China
2 Department of Mathematics, Chongqing Normal University, Chongqing Higher Education Mega Center, Huxi Campus, Chongqing, 401331, People’s Republic of China
Boundary Value Problems 2013, 2013:64 doi:10.1186/1687-2770-2013-64Published: 28 March 2013
In this paper, we study some properties of the generalized Apostol-type polynomials (see (Luo and Srivastava in Appl. Math. Comput. 217:5702-5728, 2011)), including the recurrence relations, the differential equations and some other connected problems, which extend some known results. We also deduce some properties of the generalized Apostol-Euler polynomials, the generalized Apostol-Bernoulli polynomials, and Apostol-Genocchi polynomials of high order.
MSC: 11B68, 33C65.