The multiset partitions and the generalized Stirling numbers. (English) Zbl 1463.11082
Summary: By counting on the multiset partitions, we give in this paper a combinatorial interpretation of a class of the generalized Stirling numbers generalizing the Stirling, \(r\)-Stirling, Jacobi-Stirling, \(r\)-Jacobi-Stirling and two classes of \(p\)-Stirling numbers of the second kind.
Keywords:
the multiset partitions; combinatorial interpretations; recurrence relations; identities; particular casesReferences:
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