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
✦ LIBER ✦
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
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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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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⚖ 40 KB
We prove that the generating polynomial of Whitney numbers of the second kind of Dowling lattices has only real zeros.
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1993
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1986
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