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Those Stirling Numbers Again

Published online by Cambridge University Press:  20 November 2018

N. S. Mendelsohn*
Affiliation:
University of Manitoba
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Extract

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In his book [1] Combinatorial Analysis, J. Riordan (p. 32) refers to the continual rediscovery of the Stirling numbers. The author of this note has been surprised on many occasions by the number of different environments in which these numbers make a natural appearance and, in fact, this article is concerned with just such an occurrence. The connection is made in a study of the exponential generating function of nr.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1961

References

1. Riordan, J., An Introduction to Combinatorial Analysis, (New York, 1958).Google Scholar
2. Mendelsohn, N. S., Applications of combinatorial formulae to generalizations of Wilson's theorem, Canad. J. Math. 1 (1949) 328-336.10.4153/CJM-1949-030-4Google Scholar