Improved Bohr's inequality for mappings defined on simply connected domains
Complex Variables
2020-11-05 v1
Abstract
In this paper, we study the Bohr phenomenon for functions that are defined on a general simply connected domain of the complex plane. We improve known results of R. Fournier and St. Ruscheweyh for a class of analytic functions. Furthermore, we examine the case where a harmonic mapping is defined in a disk containing and obtain a Bohr type inequality.
Keywords
Cite
@article{arxiv.2011.02080,
title = {Improved Bohr's inequality for mappings defined on simply connected domains},
author = {Stavros Evdoridis and Saminathan Ponnusamy and Antti Rasila},
journal= {arXiv preprint arXiv:2011.02080},
year = {2020}
}
Comments
12 pages