Information-theoretic lengths of Jacobi polynomials

DOI10.1088/1751-8113/43/30/305203zbMath1220.33009OpenAlexW2006783080WikidataQ58363154 ScholiaQ58363154MaRDI QIDQ3581179

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Publication date: 16 August 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/30/305203

zbMATH Keywords

entropymeasure of informationorthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Related Items (9)

Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials ⋮ Information-theoretic-based spreading measures of orthogonal polynomials ⋮ Direct spreading measures of Laguerre polynomials ⋮ Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well ⋮ 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 ⋮ Frequency moments, \(L_q\) norms and Rényi entropies of general hypergeometric polynomials ⋮ Complexity analysis of hypergeometric orthogonal polynomials

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