Stirling numbers of the second kind


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Stirling numbers of the second kind

[¦stər·liŋ ‚nəm·bərz əvthə ′sek·ənd ‚kīnd]
(mathematics)
The numbers S (n, r) giving the numbers of ways that n elements can be distributed among r indistinguishable cells so that no cell remains empty.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The classical Stirling numbers of the second kind can also be obtained from these numbers when [alpha] = 1.
[D.sub.m](n) is known to be a generalization of the classical Bell numbers which is the sum of the Stirling numbers of the second kind S(n, k).
Stirling numbers of the second kind S(n, k) can be defined by means of (see [1], [3], [5])
Associated Stirling numbers of the first kind d(n, k) and associated Stirling numbers of the second kind b(n; k) are defined, respectively, by (see [1], [3])
Liang, An identity for Stirling numbers of the second kind; 3.
Stirling numbers of the second kind and some problems about it are very interesting research subjects as long, a lot of research results had apparented.
[2] Chunyu Du, An Epquation of Stirling Numbers of the Second Kind, Chin.
[3] Chun-yu Du, An Identity of Stirling Numbers of the Second Kind, J.