Pascal matrices and Stirling numbers
โ Scribed by P. Maltais; T.A. Gulliver
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 187 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
This paper presents some relationships between Pascal matrices, Stirling numbers, and Bernouilli numbers.
๐ 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 propose another yet generalization of Stirling numbers of the first kind for noninteger values of their arguments. We discuss the analytic representations of Stirling numbers through harmonic numbers, the generalized hypergeometric function and the logarithmic beta integral. We pre