Identities of Eulerain and ordered Stirling numbers over a multiset

2012/09/06 by Joon Yop Lee, Lee, Joon Yop
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Functional Equations Stability Results #math.CO

paper · pdf · doi:10.48550/arxiv.1209.1199

arxiv created 2012/09/06 · openalex publication_date 2012/09/06 · arxiv updated 2012/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

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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