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arxiv: 1209.1199 · v1 · pith:75ET4O4Znew · submitted 2012-09-06 · 🧮 math.CO

Identities of Eulerain and ordered Stirling numbers over a multiset

classification 🧮 math.CO
keywords numbersstirlingeulerianmultisetorderedsecondgeneralizationsidentities
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By considering Eulerian numbers and ordered Stirling numbers of the second and third kinds over a multiset, we generalize identities of Eulerian numbers and Stirling numbers of the second and third kinds and provide $q$-analogs of these generalizations. Using these generalizations, we also compute Eulerian numbers and ordered Stirling numbers of the second kind over a multiset.

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