Results 11 to 20 of about 10,624 (292)
Discrete Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raymond Scurr, Gloria Olive
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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.
Broder, Andrei Z, Andrei Z Broder
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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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On the maximum of r-Stirling numbers
Advances in Applied Mathematics, 2008 \textit{A. Z. Broder} [Discrete Math. 49, 241--259 (1984; Zbl 0535.05006)] extensively studied \(r\)-Stirling numbers, which seem to have been introduced by Carlitz. By definition, the \(r\)-Stirling number of the first kind, \({n \brack m}_r\) counts the number of permutations of \(\{1,2,\ldots,n\}\) with \(m\) cycles, where the numbers \(1,2,\ldots,r\
Mező, István
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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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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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Journal of Combinatorial Theory, Series A, 1983 AbstractThe equivalence of two classical sums giving the Stirling numbers of first kind results from a joint law for records.
Imhof, J.P
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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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Reciprocity for multirestricted Stirling numbers
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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Degenerate weighted Stirling numbers
Discrete Mathematics, 1985 The author defines generalized weighted Stirling numbers of the first and second kinds, \(S_1(n,k, \lambda\mid \theta)\) and \(S(n,k,\lambda\mid \theta)\), with two continuous parameters \(\lambda\) and \(\theta\) in addition to the two integer parameters \(n\) and \(k\) of the ordinary Stirling numbers.
Howard, F.T
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