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Some results on Whitney numbers of Dowling lattices

โœ Scribed by Rahmani, Mourad


Book ID
121687410
Publisher
Elsevier
Year
2014
Tongue
English
Weight
392 KB
Volume
20
Category
Article
ISSN
1319-5166

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We study some polynomials arising from Whitney numbers of the second kind of Dowling lattices. Special cases of our results include well-known identities involving Stirling numbers of the second kind. The main technique used is essentially due to Rota.

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We give some generating functions, recurrence relations for Whitney numbers of Dowling lattices, an explicit formula for Whitney numbers of the second kind, and other relations. ## I. Introduction A finite poset (L, ~< ) is said to be a lattice if every pair of elements, x, y, has an infimum x A

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