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arXiv · 2011.02080

Improved Bohr's inequality for mappings defined on simply connected domains

Stavros Evdoridis·Saminathan Ponnusamy·Antti Rasila
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Abstract

In this paper, we study the Bohr phenomenon for functions that are defined on a general simply connected domain of the complex plane. We improve known results of R. Fournier and St. Ruscheweyh for a class of analytic functions. Furthermore, we examine the case where a harmonic mapping is defined in a disk containing $\mathbb{D}$ and obtain a Bohr type inequality.

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Stavros Evdoridis, Saminathan Ponnusamy, Antti Rasila. 2020-11-04. Improved Bohr's inequality for mappings defined on simply connected domains. https://arxiv.org/abs/2011.02080

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