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arXiv · 1110.5271

Computing boundary extensions of conformal maps

Timothy H. McNicholl
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Abstract

Let $\phi$ be a conformal map of the unit disk onto a domain $D$, and suppose $\phi$ has a boundary extension. We show that arbitrarily good approximations of the boundary extension of $\phi$ can be computed from sufficiently good approximations of $\phi$ and sufficient local connectivity information for the boundary of $D$.

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Timothy H. McNicholl. 2011-10-24. Computing boundary extensions of conformal maps. https://doi.org/10.1112/s1461157014000096

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