Normality criterion for logharmonic mapping
Complex Variables
2025-05-26 v1
Abstract
In this paper, we present several necessary and sufficient conditions for a logharmonic mapping to be normal i.e., we establish Marty's criterion, Zalcman-Pang lemma and the Lohwater-Pommerenke theorem for logharmonic mappings, along with an application of the Zalcman-Pang lemma.
Cite
@article{arxiv.2505.17062,
title = {Normality criterion for logharmonic mapping},
author = {Molla Basir Ahamed and Sanju Mandal},
journal= {arXiv preprint arXiv:2505.17062},
year = {2025}
}
Comments
12 pages, 0 figure