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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Asymptotics of Stirling numbers of the second kind


Authors: W. E. Bleick and Peter C. C. Wang
Journal: Proc. Amer. Math. Soc. 42 (1974), 575-580
MSC: Primary 41A60
Erratum: Proc. Amer. Math. Soc. 48 (1975), 518.
Erratum: Proc. Amer. Math. Soc. 48 (1975), 518.
MathSciNet review: 0330867
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0330867-1
PII: S 0002-9939(1974)0330867-1
Keywords: Asymptotic expansion, Stirling number of the second kind, Bell number, saddle point method
Article copyright: © Copyright 1974 American Mathematical Society