Asymptotics of orthogonal polynomials inside the unit circle and Szegő-Padé approximants

DOI10.1016/S0377-0427(00)00678-6zbMath1009.42016OpenAlexW2063327849MaRDI QIDQ5946591

D. Barrios Rolanía, Guillermo López Lagomasino, Edward B. Saff

Publication date: 7 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00678-6

zbMATH Keywords

orthogonal polynomialsreflection coefficientsSzegő functionSzegő-Padé rational approximants

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21)

Related Items (8)

Asymptotic behaviour of Verblunsky coefficients ⋮ Meromorphic Szegő functions and asymptotic series for Verblunsky coefficients ⋮ On the zeros of orthogonal polynomials on the unit circle ⋮ Inverse theorem on row sequences of linear Padé-orthogonal approximation ⋮ Determining radii of meromorphy via orthogonal polynomials on the unit circle. ⋮ Unnamed Item ⋮ Critical points of orthogonal polynomials ⋮ Fine structure of the zeros of orthogonal polynomials. II: OPUC with competing exponential decay

Cites Work

• Ratio asymptotics for polynomials orthogonal on arcs on the unit circle
• On the distribution of zeros of polynomials orthogonal on the unit circle
• INVERSE THEOREMS ON GENERALIZED PADÉ APPROXIMANTS
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• Unnamed Item
• Unnamed Item

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