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Asymptotic approximations of r-Stirling numbers

✍ Scribed by C. B. Corcino; L. C. Hsu; E. L. Tan


Book ID
105629387
Publisher
Springer
Year
1999
Tongue
English
Weight
487 KB
Volume
15
Category
Article
ISSN
1573-8175

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Asymptotic expansions of the generalized
✍ Cristinel Mortici πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 191 KB

The aim of this paper is to construct the asymptotic expansions of a class of approximation formulas for the factorial function.

The r-Stirling numbers
✍ Andrei Z Broder πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 617 KB

The r-Stifling numbers of the first and second kind count restricted permutations and respectively restricted partitions, the restriction being that the first r elements must be in distinct cycles and respectively distinct subsets. The combinatorial and algebraic properties of these numbers, which i