Authors
Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder
Publication date
2020/11/27
Journal
arXiv preprint arXiv:2011.13890
Description
In this paper, we investigate the Bohr phenomenon for the class of analytic functions defined on the simply connected domain \begin{equation*} \Omega_{\gamma}=\bigg\{z\in\mathbb{C} : \bigg|z+\frac{\gamma}{1-\gamma}\bigg|<\frac{1}{1-\gamma}\bigg\}\;\; \text{for}\;\; 0\leq \gamma<1. \end{equation*} We study improved Bohr radius, Bohr-Rogosinski radius and refined Bohr radius for the class of analytic functions defined in , and obtain several sharp results.
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MB Ahamed, V Allu, H Halder - arXiv preprint arXiv:2011.13890, 2020