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-Whitney numbers of Dowling lattices

โœ Scribed by Gi-Sang Cheon; Ji-Hwan Jung


Book ID
113567665
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
353 KB
Volume
312
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


On Whitney numbers of Dowling lattices
โœ Moussa Benoumhani ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 746 KB

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

Log-Concavity of Whitney Numbers of Dowl
โœ Moussa Benoumhani ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 40 KB

We prove that the generating polynomial of Whitney numbers of the second kind of Dowling lattices has only real zeros.

On Some Numbers Related to Whitney Numbe
โœ Moussa Benoumhani ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

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.

Whitney numbers of geometric lattices
โœ Kenneth Bacล‚awski ๐Ÿ“‚ Article ๐Ÿ“… 1975 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 731 KB