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arXiv · 2512.04768

Bohr-Rogosinski Inequalities for bounded analytic functions

Molla Basir Aahmed·Partha Pratim Roy
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Abstract

In this article, we analyze refined and improved versions of the classical Bohr inequality for the function class $\mathcal{B}$, which consists of analytic self-mappings defined on the unit disk $\mathbb{D}$. We improve the Bohr-Rogosinski inequality for the class $\mathcal{B}$ of analytic self-maps by incorporating the area measure of sub-disks $\mathbb{D}_r$ in $\mathbb{D}$.

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Molla Basir Aahmed, Partha Pratim Roy. 2025-12-04. Bohr-Rogosinski Inequalities for bounded analytic functions. https://arxiv.org/abs/2512.04768

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