Results 251 to 260 of about 52,395 (273)

An explicit formula for the Bernoulli polynomials in terms of the Stirling numbers of the second kind

, 2020
We derive an explicit formula for the Bernoulli polynomials in terms of the Stirling numbers of the second kind valid for all non-negative real arguments.
Sumit Kumar Jha
semanticscholar   +1 more source

Combinatorial Identities Related to Degenerate Stirling Numbers of the Second Kind

Proceedings of the Steklov Institute of Mathematics
The study of degenerate versions of certain special polynomials and numbers, which was initiated by Carlitz’s work on degenerate Euler and degenerate Bernoulli polynomials, has recently seen renewed interest among mathematicians. The aim of this paper is
Dae San Kim, Taekyun Kim
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Three Proofs of an Identity Involving Stirling Numbers of the Second Kind

Advances in Applied Mathematics
Sheila Sundaram obtained an identity between Stirling numbers of the second kind while studying representations of the symmetric group on the homology of rank-selected subposets of subword order.
云龙 杜
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The (r1,...,rp)-Stirling Numbers of the Second Kind

Integers, 2012
Abstract ...
Miloud Mihoubi, Mohammed Said Maamra
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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
openaire   +1 more source

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
openaire   +2 more sources

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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Some applications of the stirling numbers of the first and second kind

Journal of Applied Mathematics and Computing, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masjed-Jamei, Mohammad, Jafari, M., Srivastava, H.   +2 more
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On s-Stirling transform and poly-Cauchy numbers of the second kind with level 2

Aequationes Mathematicae, 2022
T. Komatsu
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Some Identities and Congruences for $$q$$-Stirling Numbers of the Second Kind

P-Adic Numbers, Ultrametric Analysis, and Applications, 2022
B. Diarra, Hamadoun Maïga, T. Mounkoro
semanticscholar   +1 more source