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Whitney numbers of geometric lattices

✍ Scribed by Kenneth Bacławski


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
731 KB
Volume
16
Category
Article
ISSN
0001-8708

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📜 SIMILAR VOLUMES


On Whitney numbers of Dowling lattices
✍ Moussa Benoumhani 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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

On Some Numbers Related to Whitney Numbe
✍ Moussa Benoumhani 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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.

Log-Concavity of Whitney Numbers of Dowl
✍ Moussa Benoumhani 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 40 KB

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