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arXiv · 2504.19133

The Bohr's Phenomenon involving multiple Schwarz functions

Vasudevarao Allu·Raju Biswas·Rajib Mandal
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Abstract

The primary objective of this paper is to establish several sharp versions of Bohr inequalities for bounded analytic functions in the unit disk $\mathbb{D} := \{z\in\mathbb{C} : |z| < 1\}$ involving multiple Schwarz functions. Moreover, we obtain an improved version of the classical Rogosinski inequality for analytic functions in $\mathbb{D}$.

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Vasudevarao Allu, Raju Biswas, Rajib Mandal. 2025-04-27. The Bohr's Phenomenon involving multiple Schwarz functions. https://doi.org/10.1016/j.jmaa.2025.129965

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