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Let $C$ be the extended complex plane; $G \subset C$ a finite Jordan with $0 \in G$ ; $w = ϕ (z)$ the conformal mapping of $G$ onto the disk $B (0; ρ_{0}) : = \}w |w| < ρ_{0}\{$ normalized by $ϕ (0) = 0$ and $ϕ^{'} (0) = 1$ . Let us set $ϕ_{p} (z) : = \int_{0}^{z} {[ϕ^{'} (ζ)]}^{2 / p} d ζ$ , and let $π_{n, p} (z)$ be the generalized Bieberbach polynomial of degree $n$ for the pair $(G, 0)$ , which minimizes the integral $\underset{G}{\int \int} {|ϕ_{p}^{'} (z) - P_{n}^{'} (z)|}^{p} d σ_{z}$ in the class of all polynomials of degree not exceeding $\leq n$ with $P_{n} (0) = 0$ , $P_{n}^{'} (0) = 1$ . In this paper we study the uniform convergence of the generalized Bieberbach polynomials $π_{n, p} (z)$ to $ϕ_{p} (z)$ on $\bar{G}$ with interior and exterior zero angles and determine its dependence on the...

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New Extremal Properties for Constructing Conformal Mappings.

Numerical conformal mappings of unbounded multiply-connected domains using the charge simulation method.

Numerische Ermittlung quasikonformer Abbildungen mit finiten Elementen.

On the Distribution of Tsuji Points.

Point Systems with Extremal Properties and Conformal Mapping.

Schwarz-Christoffel mapping in the computer era.

Schwarzovy-Christoffelovy integrály

Slit maps and Schwarz-Christoffel maps for multiply connected domains.

Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.

Stability and Convergence Properties of Bergmann Kernel Methods for Numerical Conformal Mapping.

The Schwarz-Christoffel conformal mapping for “polygons” with infinitely many sides.

The Schwarz-Christoffel conformal mapping for "polygons" with infinitely many sides.

The Use of Splines and Singular Functions in an Integral Equation Method for Conformai Mapping.

Two numerical methods for the conformal mapping of simply and multiply connected domains

Über die Anzahl der Lösungen der diskreten Theodorsen-Gleichung.

Uniform convergence of numerical conformal mappings of interior domains in the charge simulation method.

Uniform convergence of the generalized Bieberbach polynomials in regions with zero angles

К приближенному конформному отображению односвязных областей

О конформном отображении

О конформном отображении односвязной области на круг

Currently displaying 21 – 40 of 41