English

Some results on Whitney numbers of Dowling lattices

Combinatorics 2012-12-06 v1 Number Theory

Abstract

In this paper, we study some properties of Whitney numbers of Dowling lattices and related polynomials. We answer the following question: there is relation between Stirling and Eulerian polynomials. Can we find a new relation between Dowling polynomials and other polynomials generalizing Eulerian polynomials? In addition, some congruences for the Dowling numbers are given.

Keywords

Cite

@article{arxiv.1212.0954,
  title  = {Some results on Whitney numbers of Dowling lattices},
  author = {Mourad Rahmani},
  journal= {arXiv preprint arXiv:1212.0954},
  year   = {2012}
}

Comments

15 pages