高阶Apostol-Euler多项式和高阶Apostol-Bernoulli多项式

A Study on the Higher Order Apostol-Euler Polynomials and the Higher Order Apostol-Bernoulli Polynomials

给出高阶Apostol-Euler多项式与高阶Apostol-Bernoulli多项式的定义,研究各自性质及二者之间的关系,同时利用Stirling数给出这两类多项式的计算公式,推广了文献[5-6]的结果.

In this paper, the definition of the higher order Apostol-Euler polynomials and the higher order Apostol-Bemoulli polynomials is created. Some new properties and relations between these two polynomials are offered. Meanwhile, kind of computational formulas of these two polynomials are given by using Stirling number. The results created in the paper [ 5 -6 ] are extended.