Erdős-Turán type theorems on quasiconformal curves and arcs

DOI10.1006/jath.1997.3268zbMath0918.30006OpenAlexW1990114858MaRDI QIDQ1284497

Hans-Peter Blatt, Vladimir V. Andrievskii

Publication date: 26 May 1999

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

Full work available at URL: https://doi.org/10.1006/jath.1997.3268

zbMATH Keywords

Bieberbach polynomialszeros of polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (6)

Asymptotic behavior and zero distribution of Carleman orthogonal polynomials ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ On zeros of polynomials orthogonal over a convex domain ⋮ A local discrepancy theorem ⋮ Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction ⋮ Zeros of polynomials orthogonal over regular \(N\)-gons.

Cites Work

• Longueurs extrémales et théorie des fonctions
• Asymptotic behaviour of zeros of Bieberbach polynomials
• The distribution of extreme points in best complex polynomial approximation
• Erdős-Turán theorems on a system of Jordan curves and arcs
• A general discrepancy theorem
• Linear and complex analysis problem book 3. Part 2
• Erdös-Turán-type theorems on piecewise smooth curves and arcs
• Distribution of simple zeros of polynomials
• On the order of closeness of a spatial quasiconformal mapping to conformal
• Polynome und konforme Abbildung
• On Faber polynomials and Faber expansions
• Estimates of mass distributions from their potentials and energies
• On the distribution of roots of polynomials
• A CONSTRUCTIVE CHARACTERIZATION OF HARMONIC FUNCTIONS IN DOMAINS WITH QUASICONFORMAL BOUNDARIES
• Conformal Mappings of Domains Satisfying a Wedge Condition
• DIRECT THEOREMS OF APPROXIMATION THEORY ON QUASICONFORMAL ARCS
• On Interior and Conformal Mappings of the Disk
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
• Estimates of harmonic measures
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