Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications
arXiv:1503.01041 · doi:10.1007/s40315-015-0149-4
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.
30 pages, 10 figures