Results 71 to 80 of about 2,375 (206)
Refinements of the Bell and Stirling numbers [PDF]
Transactions on Combinatorics, 2018 We introduce new refinements of the Bell, factorial, and unsigned Stirling numbers of the first and second kind that unite the derangement, involution, associated factorial, associated Bell, incomplete Stirling, restricted factorial ...
Tanay Wakhare
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Curricular justice in a complex world
The Curriculum Journal, EarlyView.Abstract This paper is a response to articles published in this Special Issue of the journal. In the paper, I reflect upon the issue of curricular justice, offering comment on issues raised in the constituent papers of the Special Issue. The arguments are structured around four themes: education IS political; the questions of whose knowledge should be ...
Mark Priestley
wiley +1 more source
Advances in Difference Equations, 2020 In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their ...
Lee-Chae Jang +3 more
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A note on infinite series whose terms involve truncated degenerate exponentials
Applied Mathematics in Science and Engineering, 2023 The degenerate exponentials are degenerate versions of the ordinary exponential and the truncated degenerate exponentials are obtained from the Taylor expansions of them by truncating the first finitely many terms.
Dae San Kim, Hyekyung Kim, Taekyun Kim
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Asymptotics of Chebyshev-Stirling and Stirling numbers of the second kind
, 2013 For the Chebyshev-Stirling numbers, a special case of the Jacobi-Stirling numbers, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabilistic approach also applies to the classical Stirling numbers of the second kind. Thereby a supplement of the asymptotic analysis for these numbers is established.
Gawronski, Wolfgang +2 more
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Drivers of Energy Policy Asymmetry Between Supply and Demand in the United Kingdom
Environmental Policy and Governance, EarlyView.ABSTRACT The scale of energy service demands and the efficiency with which they are provided determine the size of energy systems. As most modern energy systems are powered predominantly by fossil fuels, the size of the system determines the scale of the decarbonisation challenge enshrined in net‐zero targets.
Colin Nolden, Tina Fawcett, Nick Eyre
wiley +1 more source
Ordinary and degenerate Euler numbers and polynomials
Journal of Inequalities and Applications, 2019 In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$.
Taekyun Kim +3 more
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Journal of Inequalities and Applications, 2020 The goal of this paper is to demonstrate many explicit computational formulas and relations involving the Changhee polynomials and numbers and their differential equations with the help of functional equations and partial derivative equations for ...
Ji Suk So, Yilmaz Simsek
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Exploring Loneliness in Clinical and Sub‐Clinical Eating Disorders: A Systematic Review
European Eating Disorders Review, EarlyView.ABSTRACT Objective This review systematically examines the role of loneliness in clinical and subclinical Eating Disorders (ED), assessing its impact on symptom severity and exploring underlying mechanisms across different populations. Method Following PRISMA guidelines and registered with PROSPERO (CRD42024565108), a comprehensive search was conducted
Elisa Rabarbari +3 more
wiley +1 more source
An identity involving Bernoulli numbers and the Stirling numbers of the second kind [PDF]
Notes on Number Theory and Discrete Mathematics, 2019 Let $B_{r}$ denote the Bernoulli numbers, and $S(r,k)$ denote the Stirling numbers of the second kind. We prove the following identity$$ B_{2r} = (-1)^{r}\sum_{k=1}^{2r}\frac{(-1)^{k-1}\cdot (k-1)!}{k+1}\sum_{l=1}^{k}\frac{S(r,l)\, S(r,k-l)}{\binom{k}{l}}. $$To the best of our knowledge, the identity is new.
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