Best M\"obius approximations of convex and concave mappings
Complex Variables
2023-08-09 v1
Abstract
We study the best M\"obius approximations (BMA) to convex and concave conformal mappings of the disk, including the special case of mappings onto convex polygons. The crucial factor is the location of the poles of the BMAs. Finer details are possible in the case of polygons through special properties of Blaschke products and the prevertices of the mapping function.
Keywords
Cite
@article{arxiv.2308.03911,
title = {Best M\"obius approximations of convex and concave mappings},
author = {Martin Chuaqui and Brad Osgood},
journal= {arXiv preprint arXiv:2308.03911},
year = {2023}
}
Comments
11 pages, one figure