Asymptotics of derivatives of orthogonal polynomials on the real line

DOI10.1007/s10474-007-6183-6zbMath1164.42020OpenAlexW2045923891MaRDI QIDQ950343

Doron S. Lubinsky, Eli Levin

Publication date: 22 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-6183-6

zbMATH Keywords

asymptotics of orthogonal polynomials, Szegő's conditionderivatives of orthogonal polynomials

Mathematics Subject Classification ID

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

Cites Work

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• Asymptotics of derivatives of orthogonal polynomials on the unit circle
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Uniform asymptotics of derivatives of orthogonal polynomials based on generalized Jacobi weights
• An Asymptotic Formula for the Derivatives of Orthogonal Polynomials
• The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights
• Strong and Weak Convergence of Orthogonal Polynomials
• Pointwise estimates from below of the moduli of the derivatives of orthogonal polynomials on the circle with a weight having singularities