Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights

DOI10.1006/jath.1998.3315zbMath0946.33005OpenAlexW2073690030WikidataQ58363425 ScholiaQ58363425MaRDI QIDQ1300151

V. S. Buyarov, Edward B. Saff, Jesús S. Dehesera, Andrei Martínez-Finkelshtein

Publication date: 10 May 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/aa26a2af2429b8f865b33f85c871f58b79fd8353

zbMATH Keywords

asymptoticsJacobi polynomialsLaguerre polynomialsvarying weightsentropy integral

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (12)

Relative Fisher information of discrete classical orthogonal polynomials ⋮ Expansions in series of varying Laguerre polynomials and some applications to molecular potentials ⋮ Discrete entropies of orthogonal polynomials ⋮ Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials ⋮ Shannon entropy of symmetric Pollaczek polynomials ⋮ Asymptotics for entropy integrals associated with exponential weights ⋮ Entropy and complexity analysis of hydrogenic Rydberg atoms ⋮ Quantum information entropies and orthogonal polynomials ⋮ Information entropy of orthogonal polynomials ⋮ Information entropy of conditionally exactly solvable potentials ⋮ \(L^{p}\)-norms and information entropies of Charlier polynomials ⋮ Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters

Cites Work

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• Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential

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