关于Apostol-Euler多项式的循环公式

Some new recurrence formulae for the Apostol-Euler polynomials

本文主要研究了Apostol-Euler多项式的性质,利用生成函数的方法和组合技巧得到了几个关于Apostol-Euler多项式的循环公式,并包含了一些已有文献中的结果。

In this paper, a further investigation for Apostol - Euler polynomials is performed. Some new recurrence formulae for Apostol - Euler are obtained by applying the generating function methods and some combinatorial techniques and some known results are derived as special cases.