Results 11 to 20 of about 1,010,494 (300)
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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Stirling numbers revisited [PDF]
Discrete Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raymond Scurr, Gloria Olive
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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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On the maximum of r-Stirling numbers [PDF]
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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Degenerate weighted Stirling numbers [PDF]
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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A note on degenerate r-Stirling numbers
Journal of Inequalities and Applications, 2020 The aim of this paper is to study the unsigned degenerate r-Stirling numbers of the first kind as degenerate versions of the r-Stirling numbers of the first kind and the degenerate r-Stirling numbers of the second kind as those of the r-Stirling numbers ...
Taekyun Kim +3 more
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Multi-Lah numbers and multi-Stirling numbers of the first kind
Advances in Difference Equations, 2021 In this paper, we introduce multi-Lah numbers and multi-Stirling numbers of the first kind and recall multi-Bernoulli numbers, all of whose generating functions are given with the help of multiple logarithm.
Dae San Kim +4 more
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Stirling numbers and periodic points [PDF]
Acta Arithmetica, 2021 We introduce the notion of almost realizability, an arithmetic generalization of realizability for integer sequences, which is the property of counting periodic points for some map. We characterize the intersection between the set of Stirling sequences (of both the first and the second kind) and the set of almost realizable sequences.
Miska P, Ward T
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A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials
Journal of Mathematics, 2023 Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the ...
Taekyun Kim +3 more
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Some identities related to degenerate Stirling numbers of the second kind
Demonstratio Mathematica, 2022 The degenerate Stirling numbers of the second kind were introduced as a degenerate version of the ordinary Stirling numbers of the second kind. They appear very frequently when one studies various degenerate versions of some special numbers and ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
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