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The r-Stirling numbers

✍ Scribed by Andrei Z Broder

Publisher: Elsevier Science
Year: 1984
Tongue: English
Weight: 617 KB
Volume: 49
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(84)90161-4

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✦ Synopsis

The r-Stifling numbers of the first and second kind count restricted permutations and respectively restricted partitions, the restriction being that the first r elements must be in distinct cycles and respectively distinct subsets. The combinatorial and algebraic properties of these numbers, which in most cases generalize similar properties of the regular Stirling numbers, are explored starting from the above definition.

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