Results 11 to 20 of about 73,008 (249)
Some discrete multiple orthogonal polynomials
Journal of Computational and Applied Mathematics, 2003 27 pages, no figures.-- MSC2000 codes: 33C45, 33C10, 42C05, 41A28.-- Issue title: "Proceedings of the 6th International Symposium on Orthogonal Polynomials, Special Functions and their Applications" (OPSFA-VI, Rome, Italy, 18-22 June 2001). MR#: MR1985676 (2004g:33015) Zbl#: Zbl 1021.33006 In this paper, we extend the theory of discrete orthogonal ...
Arvesú, J. +2 more
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Continuum discretization using orthogonal polynomials [PDF]
Physical Review A, 2003 A method for discretizing the continuum by using a transformed harmonic oscillator basis has recently been presented @Phys. Rev. A 63, 052111 ~2001!#. In the present paper, we propose a generalization of that formalism which does not rely on the harmonic oscillator for the inclusion of the continuum in the study of weakly bound systems ...
Pérez Bernal, Francisco +3 more
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Gottlieb Polynomials and Their q-Extensions
Mathematics, 2021 Since Gottlieb introduced and investigated the so-called Gottlieb polynomials in 1938, which are discrete orthogonal polynomials, many researchers have investigated these polynomials from diverse angles.
Esra ErkuŞ-Duman, Junesang Choi
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Discrete Transforms and Orthogonal Polynomials of (Anti)symmetric Multivariate Sine Functions
Entropy, 2018 Sixteen types of the discrete multivariate transforms, induced by the multivariate antisymmetric and symmetric sine functions, are explicitly developed. Provided by the discrete transforms, inherent interpolation methods are formulated.
Adam Brus +2 more
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Multidimensional Toda Lattices: Continuous and Discrete Time [PDF]
, 2016 In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates.
Aptekarev, Alexander I. +3 more
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Mathematics, 2022 In this contribution we consider sequences of monic polynomials orthogonal with respect to the Sobolev-type inner product f,g=⟨uM,fg⟩+λTjf(α)Tjg(α), where uM is the Meixner linear operator, λ∈R+, j∈N, α≤0, and T is the forward difference operator Δ or ...
Roberto S. Costas-Santos +2 more
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On a two-dimensional analogue of the Lebesgue function for Fourier-Chebyshov sums [PDF]
E3S Web of ConferencesThis article considers the problem of approximating a function of two variables f(x,y) by Fourier sums over Chebyshev polynomials orthogonal on a discrete grid.
Rustanov A.R., Shikhshinatova M.M.
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Some discrete d-orthogonal polynomial sets
Journal of Computational and Applied Mathematics, 2003 The concept of \(d\)-orthogonality has been received quite a lot of attention over the last ten years and the authors give a very interesting contribution to the development of the field. Let \(u\) be a linear functional on the space \textbf{P} of all polynomials; its action is written as \(\langle u,f\rangle\) for all \(f\in\mathbf{P}\).
Ben Cheikh, Yousséf, Zaghouani, Ali
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On Perfectness of Systems of Weights Satisfying Pearson’s Equation with Nonstandard Parameters
Axioms, 2023 Measures generating classical orthogonal polynomials are determined by Pearson’s equation, whose parameters usually provide the positivity of the measures.
Alexander Aptekarev +2 more
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Bivariate Hahn moments for image reconstruction
International Journal of Applied Mathematics and Computer Science, 2014 This paper presents a new set of bivariate discrete orthogonal moments which are based on bivariate Hahn polynomials with non-separable basis. The polynomials are scaled to ensure numerical stability.
Wu Haiyong, Yan Senlin
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