A Procedure for Conformal Maps of Simply Connected Domains by Using the Bergman Function

1 October 1970

journal article
Published by JSTOR in Mathematics of Computation

Vol. 24 (112) , 821-829
https://doi.org/10.2307/2004616

Abstract

Conformal maps of simply connected domains onto the unit circle are computed by means of the Bergman function of the domain. Ellipses and squares are mapped by this method. Further various parameters of the Schwarz-Christoffel formula are computed in terms of the Bergman function.

Keywords

BERGMAN KERNEL FUNCTION
CONFORMAL MAPS
REPRODUCING PROPERTY
GAUSSIAN QUADRATURE RULE

This publication has 4 references indexed in Scilit:

A Procedure for Conformal Mapping of Triply-Connected Domains
Mathematics of Computation, 1967
Konstruktive Methoden der konformen abbildung
Mathematics of Computation, 1965
Abscissas and weights for Gaussian quadratures of high order
Journal of Research of the National Bureau of Standards, 1956
The Kernel Function and Conformal Mapping
The Mathematical Gazette, 1951