Schwarzian derivative for convex mappings of order alpha
Complex Variables
2022-11-28 v1
Abstract
The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order in terms of the value of , in particular, when this quantity is equal to zero. In addition, we obtain sharp bounds for distortion and growth for this mappings and we generalized the results obtained by Suita and Yamashita for this particular case.
Keywords
Cite
@article{arxiv.2211.13563,
title = {Schwarzian derivative for convex mappings of order alpha},
author = {Pablo Carrasco and Rodrigo Hernández},
journal= {arXiv preprint arXiv:2211.13563},
year = {2022}
}