Results 11 to 20 of about 1,310,996 (291)
Discrete Mathematics, 1984 Let \(N(n,m,r)\) denote the number of permutations of \(\{1,\ldots,n\}\) with \(m\) cycles and such that the numbers \(1,\ldots,r\) occur in distinct cycles, and let \({\mathcal N}(n,m,r)\) denote the number of partitions of \(\{1,\ldots,n\}\) into \(m\) non-empty disjoint sets such that \(1,\ldots,r\) are in distinct subsets.
Andrei Z Broder +2 more
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Asymptotics of Stirling and Chebyshev‐Stirling Numbers of the Second Kind [PDF]
Studies in Applied Mathematics, 2014 For the classical Stirling numbers of the second kind, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabilistic approach also applies to the Chebyshev–Stirling numbers, a special case of the Jacobi–Stirling numbers.
Gawronski, Wolfgang +2 more
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A generalization of the Stirling numbers
Discrete Mathematics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loeb, Daniel E.
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Negative $q$-Stirling numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of ...
Yue Cai, Margaret Readdy
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SOME REMARKS ABOUT STIRLING NUMBERS OF THE SECOND KIND
Human Research in Rehabilitation, 2013 In this paper we give a representation of Stirling numbers of the second kind, we obtain explicit formulas for some cases of Stirling numbers of the second kind and illustrate a method for founding other such formulas.
Ramiz Vugdalić, Fatih Destović
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Reciprocity for multirestricted Stirling numbers [PDF]
Journal of Combinatorial Theory, Series A, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji Young Choi +3 more
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q-Bernoulli Numbers Associated with q-Stirling Numbers [PDF]
Advances in Difference Equations, 2008 We consider Carlitz q-Bernoulli numbers and q-Stirling numbers of the first and the second kinds. From the properties of q-Stirling numbers, we derive many interesting formulas associated with Carlitz q-Bernoulli numbers. Finally, we will prove βn,q=â
Taekyun Kim
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Refinements of the Bell and Stirling numbers [PDF]
Transactions on Combinatorics, 2018 We introduce new refinements of the Bell, factorial, and unsigned Stirling numbers of the first and second kind that unite the derangement, involution, associated factorial, associated Bell, incomplete Stirling, restricted factorial ...
Tanay Wakhare
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Arithmetic Identities Involving Genocchi and Stirling Numbers [PDF]
Discrete Dynamics in Nature and Society, 2009 An explicit formula, the generalized Genocchi numbers, was established and some identities and congruences involving the Genocchi numbers, the Bernoulli numbers, and the Stirling numbers were obtained.
Guodong Liu
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A Newton Interpolation Approach to Generalized Stirling Numbers [PDF]
Journal of Applied Mathematics, 2012 We employ the generalized factorials to define a Stirling-type pair {s(n,k;α,β,r),S(n,k;α,β,r)} which unifies various Stirling-type numbers investigated by previous authors.
Aimin Xu
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