Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights

DOI10.1016/j.cam.2007.05.011zbMath1214.42047OpenAlexW1988821665MaRDI QIDQ935803

Viviane Pierrard, Alphonse P. Magnus

Publication date: 8 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.05.011

zbMATH Keywords

orthogonal polynomialsLorentz weights

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Uses Software

• OPQ

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• Nonnegative solutions of a nonlinear recurrence
• A Gaussian quadrature procedure for use in the solution of the Boltzmann equation and related problems
• On the generation of orthogonal polynomials using asymptotic methods for recurrence coefficients
• Numerical analysis and orthogonal polynomials
• Laguerre-Freud's equations for the recurrence coefficients of semi- classical orthogonal polynomials
• Strong asymptotics for relativistic Hermite polynomials
• Asymptotics of the Zeros of Relativistic Hermite Polynomials
• Relativistic orthogonal polynomials are Jacobi polynomials

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