Asymptotics of orthogonal polynomial's entropy

DOI10.1016/j.cam.2009.02.056zbMath1183.94013OpenAlexW1971533158WikidataQ58363131 ScholiaQ58363131MaRDI QIDQ1044627

Alexander I. Aptekarev, Jesús S. Dehesera, Andrei Martínez-Finkelshtein

Publication date: 18 December 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.056

zbMATH Keywords

asymptoticsorthogonal polynomialslogarithmic potentialinformation entropySzegő conditionmutual energyuncertainty in quantum mechanics

Mathematics Subject Classification ID

Measures of information, entropy (94A17)

Related Items (16)

Relative Fisher information of discrete classical orthogonal polynomials ⋮ Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials ⋮ Information-theoretic-based spreading measures of orthogonal polynomials ⋮ Orthogonal polynomials on the circle for the weight \(w\) satisfying conditions \(w,w^{-1}\in \mathrm{BMO}\) ⋮ High-dimensional oscillators and Laguerre polynomials ⋮ On the growth of the polynomial entropy integrals for measures in the Szegő class ⋮ Optimally space localized polynomials with applications in signal processing ⋮ Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions ⋮ Asymptotics \((p\to\infty)\) of \(L_p\)-norms of hypergeometric orthogonal polynomials ⋮ Fisher and Shannon information entropies for a noncentral inversely quadratic plus exponential Mie-type potential ⋮ On a problem by Steklov ⋮ Asymptotic behaviour of the information entropy of hydrogen-like quantum systems ⋮ Mean convergence of prolate spheroidal series and their extensions ⋮ Discrete entropy of generalized Jacobi polynomials ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space ⋮ Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters

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