Pre-Schwarzian derivative for Logharmonic mapppings
Complex Variables
2020-06-16 v1
Abstract
We introduce a new definition of pre-Schwarzian derivative for logharmonic mappings and basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzain is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic.
Keywords
Cite
@article{arxiv.2006.07753,
title = {Pre-Schwarzian derivative for Logharmonic mapppings},
author = {V. Bravo and R. Hernandez and O. Venegas},
journal= {arXiv preprint arXiv:2006.07753},
year = {2020}
}