On the Bohr's inequality for stable mappings
Complex Variables
2022-03-25 v1 Analysis of PDEs
Abstract
We consider the class of \emph{stable} harmonic mappings introduced by Martin, Hernandez, and the class of \emph{stable} logharmonic mappings introduced by AbdulHadi, El-Hajj. We determine Bohr's radius for the classes of stable univalent harmonic mappings, stable convex harmonic mappings and stable univalent logharmonic mappings. We also consider improved and refined versions of Bohr's inequality and discuss the Bohr's Rogonsiski radius for these family of mappings.
Keywords
Cite
@article{arxiv.2203.12863,
title = {On the Bohr's inequality for stable mappings},
author = {Zayid Abdulhadi and Layan El Hajj},
journal= {arXiv preprint arXiv:2203.12863},
year = {2022}
}