Some properties of univalent log-harmonic mappings
Complex Variables
2018-08-23 v1
Abstract
We determine the representation theorem, distortion theorem, coefficients estimate and Bohr's radius for log-harmonic starlike mappings of order , which are generalization of some earlier results. In addition, the inner mapping radius of log-harmonic mappings is also established by constructing a family of -slit log-harmonic mappings. Finally, we introduce pre-Schwarzian, Schwarzian derivatives and Bloch's norm for non-vanishing log-harmonic mappings, several properties related to these are also obtained.
Keywords
Cite
@article{arxiv.1808.07393,
title = {Some properties of univalent log-harmonic mappings},
author = {ZhiHong Liu and Saminathan Ponnusamy},
journal= {arXiv preprint arXiv:1808.07393},
year = {2018}
}
Comments
To appear in Filomat, 15 pages