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A procedure for conformal maps of simply connected domains by using the Bergman function


Author: J. Burbea
Journal: Math. Comp. 24 (1970), 821-829
MSC: Primary 68.00
DOI: https://doi.org/10.1090/S0025-5718-1970-0277138-4
MathSciNet review: 0277138
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1970-0277138-4
Keywords: Bergman kernel function, conformal maps, reproducing property, Gaussian quadrature rule
Article copyright: © Copyright 1970 American Mathematical Society