On geometrical properties of logharmonic mappings
Complex Variables
2016-10-05 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
In this paper, we find the radius of the disk such that every starlike logharmonic mapping of order is starlike in with respect to any point of We also establish a relation between the set of starlike logharmonic mappings \ and the set of starlike logharmonic mappings of order alpha. Moreover, the radius of starlikeness and univalence for the set of close to starlike logharmonic mappings of order is determined.
Keywords
Cite
@article{arxiv.1610.01087,
title = {On geometrical properties of logharmonic mappings},
author = {Zayid Abdulhadi and Layan El Hajj},
journal= {arXiv preprint arXiv:1610.01087},
year = {2016}
}