关于Bell多项式的一些恒等式  

Some Identities Involving Bell Polynomials

作　　者：祁兰 张媛 QI Lan;ZHANG Yuan(School of Mathematics and Statistics,Yulin University,Yulin 719000,Shaanxi,China)

机构地区：[1]榆林学院数学与统计学院,陕西榆林719000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2020年第2期106-110,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11826203,11826205);榆林市产学研合作项目(2016cxy-12)。

摘　　要：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.

关 键 词：BELL数 BELL多项式 生成函数 第二类STIRLING数 

分 类 号：O157[理学—数学]