Some algebraic identity and its relations to Stirling numbers of the second kind

arxiv(2022)

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摘要
In this short note we provide some algebraic identity with a proof exploiting its probabilistic interpretation. We show several consequences of the identity, in particular we obtain a new representation of a Stirling number of second kind, $$ S(n,d)={1\over d!} \sum_{1\leq j_1更多
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关键词
stirling numbers,algebraic identity
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