arXiv:2011.02080 [math.CV]AbstractReferencesReviewsResources
Improved Bohr's inequality for mappings defined on simply connected domains
Stavros Evdoridis, Saminathan Ponnusamy, Antti Rasila
Published 2020-11-04Version 1
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.
Comments: 12 pages
Categories: math.CV
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