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Asymptotics of Stirling Numbers of the Second Kind

W. W. Bleick and Peter C. C. Wang
Proceedings of the American Mathematical Society
Vol. 42, No. 2 (Feb., 1974), pp. 575-580
DOI: 10.2307/2039547
Stable URL: http://www.jstor.org/stable/2039547
Page Count: 6
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Asymptotics of Stirling Numbers of the Second Kind
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Abstract

A complete asymptotic development of the Stirling numbers S(N, K) of the second kind is obtained by the saddle point method previously employed by Moser and Wyman [Trans, Roy. Soc. Canad., 49 (1955), 49-54] and de Bruijn [Asymptotic methods in analysis, North-Holland, Amsterdam, 1958, pp. 102-109] for the asymptotic representation of the related Bell numbers.

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