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arXiv · 2603.16834

Bohr phenomenon for analytic and harmonic mappings on shifted disks

Vasudevarao Allu·Raju Biswas·Rajib Mandal
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Abstract

The primary objective of this paper is to establish several sharp results concerning the Bohr inequality, the refined Bohr inequality, and the improved Bohr inequality for the classes of analytic functions and harmonic mappings defined on the shifted disks \[ \Omega_{\gamma}=\left\{z\in\mathbb{C}:\left|z+\frac{\gamma}{1-\gamma}\right|<\frac{1}{1-\gamma}\right\}\quad\text{for}\quad\gamma\in[0,1).\]

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Vasudevarao Allu, Raju Biswas, Rajib Mandal. 2026-03-17. Bohr phenomenon for analytic and harmonic mappings on shifted disks. https://arxiv.org/abs/2603.16834

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