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Article 08.1.7 Some Properties of Associated Stirling Numbers

By Feng-zhen Zhao

Abstract

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.

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.188.9846
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