Shannon entropy of symmetric Pollaczek polynomials

DOI10.1016/j.jat.2006.06.007zbMath1111.33003arXivmath/0504250OpenAlexW2011569082MaRDI QIDQ871996

Joaquin F. Sánchez Lara, Andrei Martínez-Finkelshtein

Publication date: 27 March 2007

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

Full work available at URL: https://arxiv.org/abs/math/0504250

zbMATH Keywords

Shannon entropyasymptotic formulaesymmetric Pollaczek polynomialssymmetric Pollaczek weight

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (4)

Discrete entropies of orthogonal polynomials ⋮ Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials ⋮ Kernels and point processes associated with Whittaker functions ⋮ Asymptotics of orthogonal polynomial's entropy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on uniform asymptotic expansions for Bessel functions
• On information entropy of Gegenbauer polynomials
• Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights
• Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials
• Asymptotics for entropy integrals associated with exponential weights
• On the asymptotic expansion of the entropy of Gegenbauer polynomials
• Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class
• Strong and Weak Convergence of Orthogonal Polynomials
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
• Orthogonal polynomials
• Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials
• Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials
• Information entropy of Gegenbauer polynomials
• Computation of the Entropy of Polynomials Orthogonal on an Interval
• ASYMPTOTIC BEHAVIOR OF THEL^p-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS
• Orthogonal polynomials for exponential weights
• Quantum information entropies and orthogonal polynomials

This page was built for publication: Shannon entropy of symmetric Pollaczek polynomials