English

Identities of Eulerain and ordered Stirling numbers over a multiset

Combinatorics 2012-09-07 v1

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 qq-analogs of these generalizations. Using these generalizations, we also compute Eulerian numbers and ordered Stirling numbers of the second kind over a multiset.

Keywords

Cite

@article{arxiv.1209.1199,
  title  = {Identities of Eulerain and ordered Stirling numbers over a multiset},
  author = {Joon Yop Lee},
  journal= {arXiv preprint arXiv:1209.1199},
  year   = {2012}
}
R2 v1 2026-06-21T22:00:42.778Z