Geodesic
Some properties of associated Stirling numbers
Journal of integer sequences, Tome 11 (2008) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we discuss the properties of associated Stirling numbers. By means of the method of coefficients, we establish a series of identities involving associated Stirling numbers, Bernoulli numbers, harmonic numbers, and the Cauchy numbers of the first kind. In addition, we give the asymptotic expansion of certain sums involving 2-associated Stirling numbers of the second kind by Darboux's method.
Classification : 05A15, 05A16, 05A19
Keywords: Stirling numbers, Bernoulli numbers, harmonic numbers, asymptotic expansion, Darboux's method 
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     author = {Zhao, Feng-Zhen},
     title = {Some properties of associated {Stirling} numbers},
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     number = {1},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a3/}
}
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Zhao, Feng-Zhen. Some properties of associated Stirling numbers. Journal of integer sequences, Tome 11 (2008) no. 1. http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a3/