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A more generalized stirling distribution of the second kind

โœ Scribed by Huang, Mei-Ling; Yuen Fung, Karen

Book ID
111906659
Publisher
Taylor and Francis Group
Year
1988
Tongue
English
Weight
408 KB
Volume
17
Category
Article
ISSN
0361-0926

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๐Ÿ“œ SIMILAR VOLUMES

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A probabilistically attained set of polynomials that generate stirling numbers of the second kind
โœ Arthur J. Roth; Milton Sobel ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 734 KB

Using probabilistic arguments, we derive a sequence of polynomials in one variable which generate the Stirling numbers of the second kind. Specifically where S: is the desired Stirling number and P,\_,,,(\*> is the polynomial of degree c -m.

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A partition u of [k] = {1, 2, . . . , k} is contained in another partition v of [l] if [l] has a k-subset on which v induces u. We are interested in counting partitions v not containing a given partition u or a given set of partitions R. This concept is related to that of forbidden permutations. A s