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

Burbea, J.

doi:10.1090/S0025-5718-1970-0277138-4

A procedure for conformal maps of simply connected domains by using the Bergman function
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Math. Comp. 24 (1970), 821-829 Request permission

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.

References

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J. Assoc. Comput. Mach.