A combinatorial generalization of the stirling numbers of the second kind

被引：0

作者：

Cernuschi-Frías, B ^{[1
]}

机构：

[1] Univ Buenos Aires, Fac Ingn, RA-1412 Buenos Aires, DF, Argentina

来源：

ICECS 2001: 8TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS I-III, CONFERENCE PROCEEDINGS | 2001年

关键词：

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A combinatorial generalization of the Stirling Numbers of the Second Kind is presented as the number of partitions of a set with n elements in m subsets with at least c elements each. An equivalence with a previous definition is discussed. Combinatorial properties and a recursive relation are obtained. The generating function is obtained as the m-th power of a truncated exponential series expansion at c. Other applications are also discussed.

引用

页码：593 / 596

页数：4

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