含有二项式系数及特殊组合数的恒等式  

Identities involving binomial coefficients and special combinatorial numbers

作　　者：郭东威 GUO Dongwei(College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466000,China)

机构地区：[1]周口师范学院数学与统计学院,河南周口466000

出　　处：《周口师范学院学报》2020年第5期15-17,共3页Journal of Zhoukou Normal University

基　　金：Supported by the Humanity and Social Sciences Foundation of Henan Provincial Depart-ment of Education(2020-ZZJH-566)。

摘　　要：利用发生函数方法,得到了几个与二项式系数及特殊组合数有关的恒等式,涉及的特殊组合数包括Bernoulli数B k,Fubini数F k,Genocchi数G k,Euler数E k,Bell数B k,第一类Stirling数s(n,k)及第二类Stirling数S(n,k).By using the method of generating function,we obtain some identities involving binomial coefficients,as well as other special combinatorial numbers,such as Bernoulli number B k,Fubini number F k,Genocchi number G k,Euler number E k,Bell number B k,Stirling number of the first kind s(n,k)and Stirling number of the second kind S(n,k).

关 键 词：二项式系数 发生函数 BERNOULLI数 STIRLING数 

分 类 号：O15[理学—数学]