Whitney numbers of some geometric lattices
โ Scribed by E Damiani; O D'Antona; F Regonati
- Book ID
- 118382780
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 546 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
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
We prove that the generating polynomial of Whitney numbers of the second kind of Dowling lattices has only real zeros.