Determining radii of meromorphy via orthogonal polynomials on the unit circle.

DOI10.1016/j.jat.2003.08.002zbMath1051.30033OpenAlexW1988651447MaRDI QIDQ1421508

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

Publication date: 26 January 2004

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

Full work available at URL: http://hdl.handle.net/10016/6325

zbMATH Keywords

orthogonal polynomialsrational approximationFourier expansions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (4)

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 ⋮ Unnamed Item

Cites Work

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• Ratio asymptotics for polynomials orthogonal on arcs on the unit circle
• ON ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON THE CIRCLE WITH WEIGHTS NOT SATISFYING SZEGÖ'S CONDITION
• INVERSE THEOREMS ON GENERALIZED PADÉ APPROXIMANTS
• ON THE CONVERGENCE OF RATIONAL APPROXIMATIONS TO POLYNOMIAL EXPANSIONS IN DOMAINS OF MEROMORPHY OF A GIVEN FUNCTION
• Schur's algorithm, orthogonal polynomials, and convergence of Wall's continued fractions in \(L^2(\mathbb{T})\).
• Asymptotics of orthogonal polynomials inside the unit circle and Szegő-Padé approximants

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