AN IDENTITY INVOLVING DERANGEMENT NUMBERS AND BELL NUMBERS

被引：3
|
作者：
Du, Zhibin [1 ]
da Fonseca, Carlos M. [2 ,3 ]
机构：
[1] South China Normal Univ, Sch Software, Foshan 528225, Guangdong, Peoples R China
[2] Kuwait Coll Sci & Technol, POB 27235, Safat 13133, Kuwait
[3] Univ Deusto, Chair Computat Math, Bilbao 48007, Spain
来源：
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2022年 / 16卷 / 02期
基金：
中国博士后科学基金;
关键词：
Derangement numbers; Stirling numbers of the second kind; Bell numbers; Hessenberg matrices; DETERMINANT;
D O I：
10.2298/AADM200705010D
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to establish a new identity between derangement numbers and Bell numbers. Two known identities can be recovered. We provide a combinatorial interpretation for the new identity and a representation of the derangement numbers in terms of the determinants of Hessenberg matrices.
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页码：485 / 494
页数：10
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