Signed partitions - A balls into urns approach
classification
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approachballskindnumberssecondstirlingurnsclassical
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Using Reiner's definition of Stirling numbers of type B of the second kind, we provide a 'balls into urns' approach for proving a generalization of a well-known identity concerning the classical Stirling numbers of the second kind: $x^n=\sum\limits_{k=0}^n{S(n,k)[x]_k}.$
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