An Explicit Formula for the Bell Numbers in Terms of the Lah and Stirling Numbers

被引：38
作者：
Qi, Feng [1 ,2 ,3 ]
机构：
[1] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China
[3] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300387, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期
关键词：
Explicit formula; Bell number; Lah number; Stirling number of the second kind; derivative; exponential function; Faa di Bruno formula; Bell polynomial;
D O I：
10.1007/s00009-015-0655-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, the author finds an explicit formula for the Bell numbers in terms of the Lah numbers and the Stirling numbers of the second kind.
引用
收藏
页码：2795 / 2800
页数：6
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