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

页码：2795 / 2800

页数：6

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