关于Bell多项式的一些恒等式

Some Identities Involving Bell Polynomials

研究关于Bell多项式的恒等式。首先给出一些特殊多项式的生成函数,然后利用生成函数之间的关系,得到一些组合恒等式。作为这些恒等式的应用,给出第二类Stirling数的几个有趣性质。

To study some identities involving Bell polynomials,we first gave the generating functions of some special polynomials and then using their generating functions obtained some combinatorial identities,which revealed the relationship between integral polynomials of Bell polynomials and some special polynomials.As an application of these identities,we gave several interesting properties of Stirling numbers of the second kind.