Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters

DOI10.1088/1751-8121/aa6dc1zbMath1374.33015arXiv1705.03627OpenAlexW2611097588MaRDI QIDQ5272604

Irene V. Toranzo, Jesús S. Dehesera, Nico M. Temme

Publication date: 30 June 2017

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

Full work available at URL: https://arxiv.org/abs/1705.03627

zbMATH Keywords

asymptotic analysis of integralsentropic functionals of Laguerre and Gegenbauer polynomialsinformation theory of orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Measures of information, entropy (94A17)

Related Items (4)

Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials ⋮ Entropic uncertainty measures for large dimensional hydrogenic systems ⋮ Complexity measures and uncertainty relations of the high-dimensional harmonic and hydrogenic systems ⋮ Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces

Uses Software

• DLMF

Cites Work

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• Private algebras in quantum information and infinite-dimensional complementarity
• Heisenberg-like uncertainty measures for D-dimensional hydrogenic systems at large D
• Wave Equations in Higher Dimensions
• Asymptotic Methods for Integrals
• Quantum entanglement in (d−1)-spherium
• Quantum state space dimension as a quantum resource
• Quantum information entropies and orthogonal polynomials

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