Some results on Whitney numbers of Dowling lattices

Arab Journal of Mathematical Sciences

关键词: Bell polynomials;    Congruences;    Dowling lattices;    Eulerian polynomials;    Hankel determinant;    Whitney numbers;   

DOI  :  10.1016/j.ajmsc.2013.02.002

来源: DOAJ

【 摘 要 】

In this paper, we study some properties of Whitney numbers of Dowling lattices and related polynomials. We answer the following question: there is a 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.

【 授权许可】

Unknown