On the asymptotic expansion of the entropy of Gegenbauer polynomials

DOI10.1016/S0377-0427(01)00418-6zbMath1001.33005OpenAlexW2068376768MaRDI QIDQ1612318

Joaquin F. Sánchez Lara

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00418-6

zbMATH Keywords

asymptotic expansionsGegenbauer polynomialsShannon entropy

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Measures of information, entropy (94A17)

Related Items (1)

Shannon entropy of symmetric Pollaczek polynomials

Cites Work

• Unnamed Item
• Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials
• Information entropy of Gegenbauer polynomials
• ASYMPTOTIC BEHAVIOR OF THEL^p-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS
• Quantum information entropies and orthogonal polynomials

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