Generalized higher order Stirling numbers
✍ Scribed by B.S. El-Desouky; Nenad P. Cakić
- Book ID
- 113796539
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 241 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0895-7177
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📜 SIMILAR VOLUMES
The theory of modular binomial lattices enables the simultaneous combinatorial analysis of finite sets, vector spaces, and chains. Within this theory three generalizations of Stifling numbers of the second kind, and of Lah numbers, are developed.
In this paper we provide an algebraic approach to the generalized Stirling numbers (GSN). By defining a group that contains the GSN, we obtain a unified interpretation for important combinatorial functions like the binomials, Stirling numbers, Gaussian polynomials. In particular we show that many GS
It is shown that various well-known generalizations of Stirling numbers of the first and second kinds can be unified by starting with transformations between generalized factorials involving three arbitrary parameters. Previous extensions of Stirling numbers due to Riordan, Carlitz, Howard, Charalam