@article{Wang2024, 
author = {Chuang Wang and Junzhe Mo and Zhihong Liu},
title = {On univalent spirallike log-harmonic mappings},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {30515-30528},
keywords = {univalent log-harmonic mappings, spirallike log-harmonic mappings, starlike harmonic mappings},
url = {https://www.sciopen.com/article/10.3934/math.20241473},
doi = {10.3934/math.20241473},
abstract = {This study investigates univalent log-harmonic mappings, a class of functions that map the unit disk into the complex plane. First, we establish the necessary and sufficient conditions for univalent log-harmonic mappings to map the unit disk onto a spirallike region. We then explore the relationship between starlike harmonic mappings and spirallike log-harmonic mappings, providing several examples to illustrate our results. Finally, under specific conditions, we present growth and covering theorems for univalent log-harmonic mappings and determine the radius of spirallikeness for starlike log-harmonic mappings.}
}