Results 21 to 30 of about 51,456 (294)
On equal values of Stirling numbers of the second kind
Applied Mathematics and Computation, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Ferenczik +2 more
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Multi-Stirling numbers of the second kind
FilomatThe multi-Stirling numbers of the second kind, the unsigned multi-Stirling numbers of the first kind, the multi-Lah numbers and the multi-Bernoulli numbers are all defined with the help of the multiple logarithm, and generalize respectively the Stirling numbers of the second kind, the unsigned Stirling numbers of the first kind, the unsigned Lah ...
Taekyun Kim, Dae San Kim, Hye Jin Kim
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An identity for Stirling numbers of the second kind
Kathmandu University Journal of Science, Engineering and Technology, 2018 We obtain an identity satisfied by the Stirling numbers of the second kind.Kathmandu University Journal of Science, Engineering and TechnologyVol. 13, No.
Bhadra Man Tuladhar +2 more
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Explicit estimates for the Stirling numbers of the second kind [PDF]
We give explicit estimates for the Stirling numbers of the second kind $S(n,m)$. With a few exceptions, such estimates are asymptotically sharp. The form of these estimates varies according to $m$ lying in the central or non-central regions of $\{1,\ldots ,n\}$.
José A. Adell
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Asymptotic Representation of Stirling Numbers of the Second Kind
, 1977 The distribution of the Stirling numbers S(n,k) of the second kind with respect to k has been shown to be asymptotically normal near the mode. A new single-term asymptotic representation of S(n,k), more effective for large k, is given here. It is based on Hermite's formula for a divided difference and the use of sectional areas normal to the body ...
W. E. Bleick, Peter C. C. Wang
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Properties of Stirling Numbers of the Second Kind.
, 1971 The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from microelectronics to topology, established the need for a more extensive study of the properties of those Stirling numbers. In order to study the properties, new identities and inequalities for Stirling Numbers if the Second Kind must be formed.
Christopher Benjes
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Asymptotics of Stirling numbers of the second kind [PDF]
Proceedings of the American Mathematical Society, 1974 This work was partially supported by the Office of Naval Research under Contract Number NR 042-286 at the Naval Postgraduate School.
Bleick, W.E., Wang, Peter C.C.
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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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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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Beta distribution and associated Stirling numbers of the second kind
Probability and Mathematical StatisticsSummary: This article gives a formula for associated Stirling numbers of the second kind based on the moment of a sum of independent random variables having a beta distribution. From this formula we deduce lower and upper bounds for these numbers, using a probabilistic approach.
Jakub Gismatullin, Patrick Tardivel
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