Stirling numbers and records

Stirling numbers revisited

✍ Raymond Scurr; Gloria Olive 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 527 KB

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

Generalized Stirling and Lah numbers

✍ Carl G. Wagner 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 836 KB

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.

Pascal matrices and Stirling numbers

✍ P. Maltais; T.A. Gulliver 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 187 KB

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

The r-Stirling numbers

✍ Andrei Z Broder 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 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

Degenerate weighted Stirling numbers

✍ 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

P-partitions and q-stirling numbers

✍ SeungKyung Park 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 674 KB