Results 231 to 240 of about 67,232 (280)

A Formula for the Stirling Numbers of the Second Kind

The American Mathematical Monthly, 2020
The Stirling number of the second kind S(n, k) is the number of partitions of {1,2,…,n} into k parts and is given by the following explicit formula: (1) S(n,k)=1k!∑j=0k(−1)k−j(kj)jn.
Gao-Wen Xi, Qiu-Ming Luo
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Generalized Convolution Identities for Stirling Numbers of the Second Kind

2008
We prove an identity for sums of products of an arbitrary fixed number of Stirling numbers of the second kind; this can be seen as a generalized convolution identity. As a consequence we obtain two polynomial identities that also involve Stirling numbers of the second kind.
Agoh, Takashi, Dilcher, Karl
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Simple formulas for Stirling numbers of the second kind

AIP Conference Proceedings, 2015
For large values of k, especially those closer to n, the expression for S(n, k), the Stirling numbers (of the second kind) can become quite cumbersome to deal with. In this paper, we obtained simple formulas for S(n, n – r) for small values of r. Our formulas contain only a combination of r combinatorial terms.
A. A. Low, C. K. Ho
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Enumerating Some Stable Partitions Involving Stirling and r-Stirling Numbers of the Second Kind

Mediterranean Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belbachir, H., Boutiche, M. A., Medjerredine, A.   +2 more
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Some applications of the stirling numbers of the first and second kind

Journal of Applied Mathematics and Computing, 2014
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Masjed-Jamei, Mohammad, Jafari, M., Srivastava, H.   +2 more
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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.
Ferenczik, J., Pintér, Á., Porvázsnyik, B.   +2 more
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Beta distribution and associated Stirling numbers of the second kind

Probability and Mathematical Statistics
Summary: 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.
Gismatullin, Jakub, Tardivel, Patrick
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Cancer treatment and survivorship statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Kimberly D Miller, Leticia M Nogueira, Angela B Mariotto   +2 more
exaly  

On the Location of the Maximum Stirling Number(s) of the Second Kind

, 2009
Horst Wegner
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The Stirling Numbers of the Second Kind

2006
Khee Meng Koh, Eng Guan Tay
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