Weighted Zero Distribution for Polynomials Orthogonal on an Infinite Interval

DOI10.1137/0516096zbMath0593.33010OpenAlexW2081661708MaRDI QIDQ3722857

Walter Van Assche

Publication date: 1985

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0516096

zbMATH Keywords

Hermite polynomialsLaguerre polynomialsasymptotic formula of Rakhmanov

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)

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An update on orthogonal polynomials and weighted approximation on the real line ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ On Freud's equations for exponential weights ⋮ Strong and ratio asymptotics for Laguerre polynomials revisited ⋮ An asymptotic form for the Stieltjes constants 𝛾_{𝑘}(𝑎) and for a sum 𝑆ᵧ(𝑛) appearing under the Li criterion ⋮ Finite group actions and asymptotic expansion of \(e^{P(z)}\) ⋮ Bounds for orthogonal polynomials for exponential weights

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