Journal of Integer Sequences, Vol. 11 (2008), Article 08.1.7

Some Properties of Associated Stirling Numbers

Feng-Zhen Zhao
Department of Applied Mathematics
Dalian University of Technology
Dalian 116024


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.

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Received December 8 2007; revised version received May 2 2008. Published in Journal of Integer Sequences, May 6 2008. Minor revisions, June 11 2008; June 20 2008; July 5 2008.

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