Bohr-Rogosinski type inequalities for concave univalent functions
Complex Variables
2022-05-02 v1
Abstract
In this paper, we generalize and investigate Bohr-Rogosinski's inequalities and the Bohr-Rogosinski phenomenon for the subfamilies of univalent (i.e., one-to-one) functions defined on unit disk which maps to the concave domain, i.e., the domain whose complement is a convex set. All the results are proved to be sharp.
Cite
@article{arxiv.2204.14085,
title = {Bohr-Rogosinski type inequalities for concave univalent functions},
author = {Vasudevarao Allu and Vibhuti Arora},
journal= {arXiv preprint arXiv:2204.14085},
year = {2022}
}