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Pascal matrices and Stirling numbers

โœ 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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โœฆ Synopsis


This paper presents some relationships between Pascal matrices, Stirling numbers, and Bernouilli numbers.


๐Ÿ“œ SIMILAR VOLUMES


Stirling numbers and records
โœ J.P Imhof ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 98 KB
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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.

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โœ Victor Adamchik ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 635 KB

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