Apostal-Bernoulli-Euler多项式的若干恒等式

Some Identities of Apostol-Bernoulli-Euler Polynomials

本文主要用生成函数理论结合某些运算技巧得到了Apostol-Bernoulli多项式、Apostol-Euler多项式之间的一系列漂亮的组合恒等式.在等式中适当的选取参数,可以得到已有的著名的关于Bernoulli多项式、Euler多项式之间的组合恒等式.

In this paper, on the basis of the generating function and some operation skills a series of identities involving Apostol-Bernoulli and Apostol-Euler Polynomials are obtained. By properly choosing the parameters, a kind of known identities involving Bernoulli and Euler polynomials can be derived.