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arXiv · 1503.01041

Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications

Philip R. Brown·R. Michael Porter
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Abstract

We study conformal mappings from the unit disk (or a rectangle) to one-tooth gear-shaped planar domains from the point of view of the Schwarzian derivative, with emphasis on numerical considerations. Applications are given to evaluation of a singular integral, mapping to the complement of an annular rectangle, and symmetric multitooth domains.

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BibTeXRIS

Philip R. Brown, R. Michael Porter. 2015-03-03. Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications. https://doi.org/10.1007/s40315-015-0149-4

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