Some results on Whitney numbers of Dowling lattices | Zendy

Mourad Rahmani | Zendy

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Some results on Whitney numbers of Dowling lattices

Author(s) -

Mourad Rahmani

Publication year - 2013

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2013.02.002

Subject(s) - mathematics , congruence relation , wilson polynomials , eulerian path , discrete orthogonal polynomials , difference polynomials , relation (database) , hahn polynomials , classical orthogonal polynomials , orthogonal polynomials , gegenbauer polynomials , stirling number , pure mathematics , stirling numbers of the first kind , combinatorics , algebra over a field , lagrangian , computer science , database

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

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