Results 31 to 40 of about 1,010,494 (300)
The Noncentral Version of the Whitney Numbers: A Comprehensive Study
International Journal of Mathematics and Mathematical Sciences, 2016 This paper is a comprehensive study of a certain generalization of Whitney-type and Stirling-type numbers which unifies the classical Whitney numbers, the translated Whitney numbers, the classical Stirling numbers, and the noncentral Stirling (or r ...
Mahid M. Mangontarum +2 more
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Congruences for the Stirling numbers and associated Stirling numbers [PDF]
Acta Arithmetica, 1990 Let s(n,k) and S(n,k) be the Stirling numbers of the first and second kind, respectively. The author proves that if \(k+n\) is odd, then \[ s(n,k)\equiv 0 (mod\left( \begin{matrix} n\\ 2\end{matrix} \right)),\quad S(n,k)\equiv 0 (mod\left( \begin{matrix} k+1\\ 2\end{matrix} \right)).
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Problems for combinatorial numbers satisfying a class of triangular arrays
Lietuvos Matematikos Rinkinys, 2023 Numbers satisfying a class of triangular arrays, defined by a bivariate first-order linear difference equation with linear coefficients, include a wide range of combinatorial numbers: binomial coefficients, Morgan numbers, Stirling numbers of the first ...
Igoris Belovas
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A Note on Some Identities of New Type Degenerate Bell Polynomials
Mathematics, 2019 Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced.
Taekyun Kim +3 more
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Generalized degenerate Stirling numbers arising from degenerate Boson normal ordering
Applied Mathematics in Science and Engineering, 2023 It is remarkable that, in recent years, intensive studies have been done for degenerate versions of many special polynomials and numbers and have yielded many interesting results.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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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.
Gawronski, Wolfgang +2 more
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Putting the environment at the heart of prosperity & social inclusion: The Stirling Protocol [PDF]
, 2020 Scotland’s Programme for Government 2019-20, Protecting Scotland’s Future, sets out an ambitious target to achieve net-zero greenhouse gas emissions by 2045.
Rogers, John +4 more
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Equine Assisted Learning for Primary School Children: Experiences of Teachers and Trainers [PDF]
, 2021 Equine-Assisted Learning Programme (EALP) was delivered by Equitots Lanarkshire Community Interest Company to promote the development of life skills using an experiential learning approach.
Stoppard, Lorna, Donaldson, Jayne
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Generalized q-Stirling Numbers and Their Interpolation Functions
Axioms, 2013 In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers.
Yilmaz Simsek +2 more
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Journal of Combinatorial Theory, Series A, 1983 AbstractThe equivalence of two classical sums giving the Stirling numbers of first kind results from a joint law for records.
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