Asymptotic behaviour of zeros of Bieberbach polynomials

DOI10.1016/0377-0427(91)90093-YzbMath0726.30008MaRDI QIDQ802785

N. E. Zubov

Publication date: 1991

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

zbMATH Keywords

Bergman kernel functionBieberbach polynomial

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Schwarz-Christoffel-type mappings (30C30)

Related Items (7)

Orthogonal polynomials in weighted Bergman spaces ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ Convergence of Bieberbach polynomials in domains with interior cusps ⋮ Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction ⋮ Zeros of polynomials orthogonal over regular \(N\)-gons. ⋮ Erdős-Turán type theorems on quasiconformal curves and arcs ⋮ Zero distributions for polynomials orthogonal with weights over certain planar regions

Uses Software

• BKMPACK

Cites Work

• The analogue for maximally convergent polynomials of Jentzsch's theorem
• Stability and convergence properties of Bergman kernel methods for numerical conformal mapping
• Two numerical methods for the conformal mapping of simply-connected domains
• The Bergman Kernel Method for the Numerical Conformal Mapping of Simply Connected Domains
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
• Konstruktive Methoden der konformen Abbildung
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