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The Legendre–Stirling numbers

✍ Scribed by G.E. Andrews; W. Gawronski; L.L. Littlejohn

Book ID
108114308
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
287 KB
Volume
311
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES

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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

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extended from N\* to Z\*. These extensions lead to Laurent series, 'special branches', and interesting formulas (including the 'Stirling Duality Law'). @

Degenerate weighted Stirling numbers
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✍ F.T Howard 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 631 KB

We define the degenerate weighted Stifling numbers of the first and second kinds, Sl(n, k, 2t ] 0) and S(n, k, )t ] O). By specializing h and 0 we can obtain the Stirling numbers, the weighted Stifling numbers and the degenerate Stifling numbers. Basic properties of Sl(n, k, h { 0) and S(n, k, ;t I