On the Conformal Lens Map
Complex Variables
2023-12-22 v1
Abstract
It is well-known that lens maps are convex mappings defined in the unit disc to itself. In this brief note, we show that these mappings are convex of order , and starlike of order , and establish the precise orders in terms of opening angle of the lens map.
Keywords
Cite
@article{arxiv.2312.13899,
title = {On the Conformal Lens Map},
author = {Vicente Ahumada and Eduardo Behm and Rodrigo Hernández and Dubalio Pérez},
journal= {arXiv preprint arXiv:2312.13899},
year = {2023}
}