Results 101 to 110 of about 1,345 (195)
Recurrences of Stirling and Lah numbers via second kind Bell polynomial
Discrete Mathematics Letters, 2020 Summary: In the paper, by virtue of several explicit formulas for special values and a recurrence of the Bell polynomials of the second kind, the authors derive several recurrences for the Stirling numbers of the first and second kinds, for 1-associate Stirling numbers of the second kind, for the Lah numbers, and for the binomial coefficients.
Qi F., Natalini P., Ricci P. E.
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Asymptotics of stirling numbers of the second kind [PDF]
, 1972 A complete asymptotic development of the Stirling numbers S(N,K) of the second kind is obtained by the saddle point method previously employed by Moser and Wyman [Trans. Roy. Soc.
Wang, Peter C. C., Bleick, Willard Evan
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BELL PERMUTATIONS AND STIRLING NUMBERS INTERPOLATION
, 1999 A family of number sequences which interpolates the sequences of Bell numbers and n!
PERGOLA, ELISA +3 more
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Extended degenerate Stirling numbers of the second kind and extended degenerate Bell polynomials
, 2017 In a recent work, the degenerate Stirling polynomials of the second kind were studied by T. Kim. In this paper, we investigate the extended degenerate Stirling numbers of the second kind and the extended degenerate Bell polynomials associated with them.
Kim, Taekyun, Kim, Dae San
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, 2014 The r-Bell number B^r(G) of a simple labeled graph G is the number of partitions of its vertex set whose blocks are independent sets of G where the first r-vertices are in different blocks.
Birhanu, Gebrehanna
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A theorem relating potential and bell polynomials
, 1982 We define the potential polynomial F(z)k and the exponential Bell polynomial Bn,j (0,...,0, ƒrƒr+1,...) and we prove a theorem relating the two. Though not well-known, the theorem has many applications, some of which we discuss in this paper.
Howard, F.T.
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Generalizations of Bell number formulas of spivey and Mező
, 2016 We provide q-generalizations of Spivey?s Bell number formula in various settings by considering statistics on different combinatorial structures. This leads to new identities involving q-Stirling numbers of both kinds and q-Lah numbers.
Mark Shattuck
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Assume that Y is a random variable whose moment generating function exists in a neighborhood of the origin. We study the probabilistic degenerate r-Stirling numbers of the second kind associated with Y and the probabilistic degenerate r-Bell polynomials ...
Kim, Dae San, Kim, Taekyunj
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q-Stirling sequence spaces associated with q-Bell numbers
Open MathematicsIn this study, we build qq-analog of the qq-Stirling matrix involved qq-Bell numbers Sq=(Snk(q)){{\mathbb{S}}}_{q}=({S}_{nk}\left(q)) defined by Sq=(Snk(q))=Sq(n,k)Bq(n),0≤k≤n,0,otherwise.\begin{array}{r}{{\mathbb{S}}}_{q}=({S}_{nk}\left(q))=\left ...
Atabey Koray Ibrahim +3 more
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Partition Statistics and q-Bell Numbers (q = −1)
, 2004 We study three partition statistics and the q-Stirling and q-Bell numbers that serve as their generating functions, evaluating these numbers when q = −1.
Carl G. Wagner
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