On regular \(n\)th root asymptotic behavior of orthonormal polynomials

DOI10.1016/0021-9045(91)90117-SzbMath0728.42016OpenAlexW2015029897MaRDI QIDQ804876

Herbert R. Stahl

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0021-9045(91)90117-s

zbMATH Keywords

asymptotic behaviorGreen's functionorthonormal polynomialslocalization theoremlogarithmic potential theory

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) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

• A survey of general orthogonal polynomials for weights on finite and infinite intervals
• Weak limits of zeros of orthogonal polynomials
• Function weighted measures and orthogonal polynomials on Julia sets
• Norm oscillatory weight measures
• Asymptotics for orthogonal polynomials
• A class of orthogonal polynomials
• On Orthogonal Polynomials with Regularly Distributed Zeros
• Orthogonal polynomials
• On the Regular Behaviour of Orthogonal Polynomials
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