A Generalization of Stirling Numbers of the Second Kind via a Special Multiset

被引：2

作者：

Griffiths, Martin ^{[1
]}

Mezo, Istvan ^{[2
]}

机构：

[1] Univ Manchester, Sch Educ Math, Manchester M13 9PL, Lancs, England

[2] Univ Devrecen, Fac Informat, Dept Appl Math & Probabil Theory, H-4010 Debrecen, Hungary

来源：

JOURNAL OF INTEGER SEQUENCES | 2010年 / 13卷 / 02期

关键词：

D O I：

10.2.5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Stirling numbers of the second kind and Bell numbers are intimately linked through the roles they play in enumerating partitions of n-sets. In a previous article we studied a generalization of the Bell numbers that arose on analyzing partitions of a special multiset. It is only natural, therefore, next to examine the corresponding situation for Stirling numbers of the second kind. In this paper we derive generating functions, formulae and interesting properties of these numbers.

引用

页数：23