第二类Stirling数的计算公式研究  

Study on the Calculated Formula of Stirling Numbers of the Second Kind

作　　者：朱丽平[1] ZHU Liping(Xi'an Aeronautical Polytechnic Institute, Xi'an 710089, China)

机构地区：[1]西安航空职业技术学院

出　　处：《四川职业技术学院学报》2019年第3期152-156,共5页Journal of Sichuan Vocational and Technical College

摘　　要：本文主要讨论第二类Stirling数的计算问题,并给出五种特殊的类型的第二类Stirling数的计算公式.具体地:1)当n≥3时,S(n,3)的计算方法;2)当n≥4时,S(n,4)的计算方法;3)当n≥k≥1时,S(n,k)的计算方法;4)当n≥5时,S(n,n-5)的计算方法;5)当n∈N时,S(n+i,n)的计算方法.The calculated problems will be mainly discussed in this paper. Furthermore, five special types of calculated formula of stirling numbers of the second kind will be given as following: firstly, the calculated formula of S(n,3) will be given for n≥3;secondly, for n≥4 ,the calculated formula of S(n,4) will be discussed;thirdly, for n≥k≥1 , the calculated formulated formula of S(n,k) will be analyzed;fourthly, what the calculated formula of S(n,n-5) is as n≥5;fifthly, as n∈N, what the S(n+i,n) is.

关 键 词：组合 第二类STIRLING数 n次降阶乘 k级差分 

分 类 号：O175.1[理学—数学]