Strong asymptotics for orthogonal polynomials with regularly and slowly varying recurrence coefficients

DOI10.1006/jath.1993.1012zbMath0772.42012OpenAlexW1973116370MaRDI QIDQ1804002

Walter Van Assche, Dale T. Smith, Jeffrey S. Geronimo

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1006/jath.1993.1012

zbMATH Keywords

orthogonal polynomialsstrong asymptoticsrecurrence coefficientsFreud and Erdős type weightsregularly and slowly varying

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (5)

An update on orthogonal polynomials and weighted approximation on the real line ⋮ An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ Asymptotic expansion of orthogonal polynomials via difference equations ⋮ WKB (Liouville-Green) analysis of second order difference equations and applications ⋮ Monotone Jacobi parameters and non-Szegő weights

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