Results 151 to 160 of about 51,714 (196)

A Combinatorial Approach to the Stirling Numbers of the First Kind with Higher Level

Studia Scientiarum Mathematicarum Hungarica, 2021
In this paper, we investigate a generalization of the classical Stirling numbers of the first kind by considering permutations over tuples with an extra condition on the minimal elements of the cycles. The main focus of this work is the analysis of combinatorial properties of these new objects.
Komatsu, Takao, Ramirez, Jose L., Villamizar, Diego   +3 more
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Asymptotics of the Chebyshev–Stirling numbers of the first kind

Integral Transforms and Special Functions, 2015
ABSTRACTThe asymptotic behaviour of the Chebyshev–Stirling numbers of the second kind, a special case of the Jacobi–Stirling numbers, has been established in a recent paper by Gawronski, Littlejohn and Neuschel. In this paper, we provide an asymptotic formula for the Chebyshev–Stirling numbers of the first kind.
M. Merca
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Asymptotic Development of the Stirling Numbers of the First Kind

Journal of the London Mathematical Society, 1958
Max Wyman, L. Moser
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Convolution Identities for Stirling Numbers of the First Kind

Integers, 2010
AbstractWe derive several new convolution identities for the Stirling numbers of the first kind. As a consequence we obtain a new linear recurrence relation which generalizes known relations.
Takashi Agoh, Karl Dilcher
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On the analytic extension of Stirling numbers of the first kind

Journal of Difference Equations and Applications, 2010
We present an analytic extension of the unsigned Stirling numbers of the first kind that is in a certain sense unique in its coincidence with the Stirling polynomials. We examine and compare our extension to previous extensions of (signed) Stirling numbers of the first kind given by Butzer et al. (2007, J. Difference Equ. Appl., 13) and of the unsigned
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Theory and applications of Stirling's numbers of the first kind

1983
Bibliography: p. 108-111.
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A probabilistic approach to stirling numbers of the first kind

Communications in Statistics - Theory and Methods, 1990
Let be a sequence of independent random variables which take on one of the values 0, 1 with specified probabilities where B1=l with probability one. Then the sum takes on one of the values l,…,n with the probabilities related to Stirling numbers of the first kind. Using these random variables we show several properties of the numbers.
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