Asymptotics of stirling numbers of the second kind
Bleick, Willard Evan
Wang, Peter C. C.
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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. Cannad., 49(1955) 49-54] and deBruijn [ Asymptotic Methods in Analysis, North-Holland Publishing Co., Amsterdam, (1958) 102-109] for the asymptotic representation of the related Bell numbers.