Loewner chain and quasiconformal extension of some classes of univalent functions
Complex Variables
2018-09-20 v1
Abstract
In this article, we obtain quasiconformal extensions of some classes of conformal maps defined either on the unit disc or on the exterior of it onto the extended complex plane. Some of these extensions have been obtained by constructing suitable Loewner chains and others have been obtained by applying a well-known result.
Cite
@article{arxiv.1809.07135,
title = {Loewner chain and quasiconformal extension of some classes of univalent functions},
author = {Bappaditya Bhowmik and Goutam Satpati},
journal= {arXiv preprint arXiv:1809.07135},
year = {2018}
}
Comments
14 pages