Sharp Bohr-Type inequalities for certain classes of close-to-convex functions
Complex Variables
2026-05-25 v1
Abstract
In this article, we determine the Rogosinski radii for certain subclasses of close-to-convex functions defined on open unit disc . Furthermore, we establish improved versions of the classical Bohr inequality and the Bohr-Rogosinski inequality pertaining to these subclasses. We demonstrate that all results derived in the study are sharp.
Cite
@article{arxiv.2605.22930,
title = {Sharp Bohr-Type inequalities for certain classes of close-to-convex functions},
author = {Shalini Rana and Naveen Kumar Jain},
journal= {arXiv preprint arXiv:2605.22930},
year = {2026}
}