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Asymptotics of Stirling numbers of the second kind. (English) Zbl 0278.41034


MSC:

41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
Full Text: DOI

References:

[1] L. C. Hsu, Note on an asymptotic expansion of the \?th difference of zero, Ann. Math. Statistics 19 (1948), 273 – 277. · Zbl 0035.15702
[2] Leo Moser and Max Wyman, An asymptotic formula for the Bell numbers, Trans. Roy. Soc. Canada. Sect. III. (3) 49 (1955), 49 – 54. · Zbl 0066.31001
[3] N. G. de Bruijn, Asymptotic methods in analysis, Bibliotheca Mathematica. Vol. 4, North-Holland Publishing Co., Amsterdam; P. Noordhoff Ltd., Groningen; Interscience Publishers Inc., New York, 1958. · Zbl 0082.04202
[4] Leo Moser and Max Wyman, On solutions of \?^{\?}=1 in symmetric groups, Canad. J. Math. 7 (1955), 159 – 168. · Zbl 0064.02601 · doi:10.4153/CJM-1955-021-8
[5] Konrad Knopp, Theory and applications of infinite series, Blackie and Son, London, 1928, pp. 523-528.
[6] G. E. Roberts and H. Kaufman, Table of Laplace transforms, W. B. Saunders Co., Philadelphia-London, 1966. · Zbl 0137.08901
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