Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications
Complex Variables
2024-10-15 v1
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.
Keywords
Cite
@article{arxiv.1503.01041,
title = {Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications},
author = {Philip R. Brown and R. Michael Porter},
journal= {arXiv preprint arXiv:1503.01041},
year = {2024}
}
Comments
30 pages, 10 figures