Results 71 to 80 of about 978,477 (364)
Coherent orthogonal polynomials [PDF]
Annals of Physics, 2013 11 ...
Mariano A. del Olmo, E. Celeghini
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Orthogonal Polynomials in Mathematical Physics
, 2017 This is a review of ($q$-)hypergeometric orthogonal polynomials and their relation to representation theory of quantum groups, to matrix models, to integrable theory, and to knot theory.
Chan, Chuan-Tsung +3 more
core +1 more source
Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
wiley +1 more source
Strong Asymptotics of the Orthogonal Polynomials with Respect to a Measure Supported on the Plane [PDF]
, 2012 We consider the orthogonal polynomials { Pn(z) } with respect to the measure | z−a |2Nce−N| z |2dA(z) over the whole complex plane. We obtain the strong asymptotic of the orthogonal polynomials in the complex plane and the location of their zeros in a ...
F. Balogh +3 more
semanticscholar +1 more source
$q$-Classical orthogonal polynomials: A general difference calculus approach
, 2009 It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator.
A.F. Nikiforov +26 more
core +4 more sources
Incoherent Digital Holography Empowered by Wavefront and Information Engineering: A Review
Advanced Photonics Research, EarlyView.Advancements in incoherent digital holography (IDH) have been achieved via wavefront engineering (using spatial light modulators, diffractive optics, and metasurfaces) and information engineering (using compressive sensing and deep learning). This paper presents an overview of IDH with wavefront and information engineering, paving the way toward its ...
Teruyoshi Nobukawa
wiley +1 more source
Remarks on orthogonal polynomials with respect to varying measures and related problems
International Journal of Mathematics and Mathematical Sciences, 1993 We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane.
Xin Li
doaj +1 more source
Orthogonal Laurent polynomials
Indagationes Mathematicae (Proceedings), 1986 The authors consider sequences of Laurent polynomials \(\{Q_ k\}_ 0^{\infty}\) where \[ Q_{2n}=\alpha_{-n}^{(2n)} x^{- n}+...+\alpha_ n^{(2n)} x^ n,\quad \alpha_ n^{(2n)}\neq 0, \] \[ Q_{2n+1}=\alpha_{-n-1}^{(2n+1)} x^{-n-1}+...+\alpha_ n^{(2n+1)} x^ n,\quad \alpha_{-n-1}^{(2n+1)}\neq 0.
Erik Hendriksen, H. van Rossum
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Non‐Hermitian Topological Lattice Photonics: An Analytic Perspective
Advanced Photonics Research, EarlyView.This review establishes exact analytical solutions for non‐Hermitian Hatano–Nelson, Su–Schrieffer–Heeger, and generalized Rice–Mele models. We demonstrate non‐Hermitian skin effects via point‐gap topology, hybrid skin‐topological edge states in 2D lattices, and spin‐polarized boundary modes governed by dual bulk‐boundary correspondence.
Shihua Chen +6 more
wiley +1 more source
New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials
Mathematics, 2020 A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation ...
Luis E. Garza +2 more
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