Results 51 to 60 of about 575,831 (281)
Journal of Advanced Research, 2010 Formulae expressing explicitly the q-difference derivatives and the moments of the polynomials Pn(x ; q) ∈ T (T ={Pn(x ; q) ∈ Askey–Wilson polynomials: Al-Salam-Carlitz I, Discrete q-Hermite I, Little (Big) q-Laguerre, Little (Big) q-Jacobi, q-Hahn ...
Eid H. Doha, Hany M. Ahmed
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Polynomial configurations in difference sets
Journal of Number Theory, 2009 AbstractWe prove a quantitative result on the existence of linearly independent polynomial configurations in the difference set of sparse subsets of the integers. This result is achieved by first establishing a higher dimensional analogue of a theorem of Sárközy and then applying a simple lifting argument.
Akos Magyar, Neil Lyall
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A Python package for fast GPU‐based proton pencil beam dose calculation
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose Open‐source GPU‐based Monte Carlo (MC) proton dose calculation algorithms provide high speed and unparalleled accuracy but can be complex to integrate with new applications and remain slower than GPU‐based pencil beam (PB) methods, which sacrifice some physical accuracy for sub‐second plan calculation.
Mahasweta Bhattacharya +4 more
wiley +1 more source
Polynomial solutions of differential–difference equations
Journal of Approximation Theory, 2011 We investigate the zeros of polynomial solutions to the differential-difference equation \[ P_{n+1}(x)=A_{n}(x)P_{n}^{\prime}(x)+B_{n}(x)P_{n}(x), n=0,1,... \] where $A_{n}$ and $B_{n}$ are polynomials of degree at most 2 and 1 respectively. We address the question of when the zeros are real and simple and whether the zeros of polynomials of adjacent ...
Dominici, Diego +2 more
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Value Distribution of Certain Type of Difference Polynomials
Abstract and Applied Analysis, 2014 We investigate the value distribution of difference product f(z)n∑i=1kaif(z+ci), for n≥2 and n=1, respectively, where f(z) is a transcendental entire function of finite order and ai,ci are constants satisfying ∑i=1kaif(z+ci)≢0.
Nan Li, Lianzhong Yang
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Difference dimension quasi-polynomials
Advances in Applied Mathematics, 2017 We consider Hilbert-type functions associated with difference (not necessarily inversive) field extensions and systems of algebraic difference equations in the case when the translations are assigned some integer weights. We will show that such functions are quasi-polynomials, which can be represented as alternative sums of Ehrhart quasi-polynomials ...
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Arthritis Care &Research, EarlyView.Objective We aimed to characterize patients with hand osteoarthritis (OA) with deteriorating or improving hand pain and to investigate patients achieving good clinical outcome after four years. Methods We used four‐year annual Australian/Canadian Hand Osteoarthritis Index (AUSCAN) pain subscale (range 0–20) measurements from the Hand OSTeoArthritis in ...
Coen van der Meulen +5 more
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On the ω-multiple Charlier polynomials
Advances in Difference Equations, 2021 The main aim of this paper is to define and investigate more general multiple Charlier polynomials on the linear lattice ω N = { 0 , ω , 2 ω , … } $\omega \mathbb{N} = \{ 0,\omega ,2\omega ,\ldots \} $ , ω ∈ R $\omega \in \mathbb{R}$ .
Mehmet Ali Özarslan, Gizem Baran
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Difference Sets and Polynomials
, 2015 We provide upper bounds on the largest subsets of $\{1,2,\dots,N\}$ with no differences of the form $h_1(n_1)+\cdots+h_{\ell}(n_{\ell})$ with $n_i\in \mathbb{N}$ or $h_1(p_1)+\cdots+h_{\ell}(p_{\ell})$ with $p_i$ prime, where $h_i\in \mathbb{Z}[x]$ lie in in the classes of so-called intersective and $\mathcal{P}$-intersective polynomials, respectively.
Lyall, Neil, Rice, Alex
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Arthritis Care &Research, EarlyView.Objective The aim of this study was to apply sequence analysis (SA) to phenotype health care patterns of adult patients with musculoskeletal (MSK) conditions using primary care electronic health records and to investigate the association between these health care patterns and patients’ self‐reported outcomes after consultation.
Smitha Mathew +6 more
wiley +1 more source