Analytic functions with hyperbolic range and Bohr's inequality
Metric Geometry
2024-03-19 v1
Abstract
We use properties of the hyperbolic metric and properties of the modular function to show that the Bohr's radius for covering maps onto hyperbolic domains is greater or equal to exponential minus pi. This includes almost all known classes of analytic functions.
Cite
@article{arxiv.2403.10811,
title = {Analytic functions with hyperbolic range and Bohr's inequality},
author = {Yusuf Abu Muhanna and Issam Louhichi},
journal= {arXiv preprint arXiv:2403.10811},
year = {2024}
}
Comments
7 pages