The Combinatorics Of Identities Involving Three Kinds Of Counting Numbers

International Journal of Modelling, Identification and Control（2012）

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摘要

This paper answers the problem recently proposed by Hsu on identities involving the binomial coefficients and the two kinds of Stirling numbers. We explain Hsu's identities based on the well-known combinatorial interpretations of the two kinds of Stirling numbers.

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关键词

permutation,partition,Stirling number,combinatorial identity,counting number,modelling

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