Results 251 to 260 of about 50,310 (297)

Process evaluation of the FluCare cluster randomised controlled trial: Assessing the implementation of a behaviour change intervention to increase influenza vaccination uptake among care home staff in England

open access: yes
Katangwe-Chigamba T   +20 more
europepmc   +1 more source

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.
Qiu-Ming Luo, Gao-Wen Xi
openaire   +2 more sources

Stirling Numbers of the Second Kind

, 2005
Summary. In this paper we define Stirling numbers of the second kind by cardinality of certain functional classes so that S(n, k) = {f where f is function of n, k : f is onto increasing} After that we show basic properties of this number in order to ...
Karol Pąk
semanticscholar   +1 more source

STIRLING NUMBERS OF THE SECOND KIND

, 2017
In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based on the q-numbers via an exponential generating function.
U. Duran, M. Acikgoz, S. Araci
semanticscholar   +1 more source

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

On the uniformity of the approximation for r-associated Stirling numbers of the second Kind

Contributions Discret. Math., 2020
The $r$-associated Stirling numbers of the second kind are a natural extension of Stirling numbers of the second kind. A combinatorial interpretation of $r$-associated Stirling numbers of the second kind is the number of ways to partition $n$ elements ...
H. Connamacher, Julia A. Dobrosotskaya
semanticscholar   +1 more source

Asymptotics of Stirling and Chebyshev‐Stirling Numbers of the Second Kind

Studies in Applied Mathematics, 2014
For the classical Stirling numbers of the second kind, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabilistic approach also applies to the Chebyshev–Stirling numbers, a special case of the Jacobi–Stirling numbers.
Wolfgang Gawronski   +2 more
openaire   +2 more sources

On equal values of Stirling numbers of the second kind

Applied Mathematics and Computation, 2011
Abstract S k n denote the Stirling number of the second kind with parameters k and n , i. e. S k n the number of the partition of n elements into k non-empty sets. We formulate the following conjecture concerning the common values of Stirling numbers: Let 1  a b be fixed integers. Then all the solutions of
Ferenczik, Judit   +2 more
openaire   +2 more sources

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
semanticscholar   +1 more source

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

open access: possibleResults in Mathematics, 2009
The Stirling number of the second kind S(n, k) is the number of ways of partitioning a set of n elements into k nonempty subsets. It is well known that the numbers S(n, k) are unimodal in k, and there are at most two consecutive values K n such that (for fixed n) S(n,K n ) is maximal.
openaire   +1 more source

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