Some Properties of Associated Stirling Numbers
Department of Applied Mathematics
Dalian University of Technology
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
Full version: pdf,
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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