Bohr Phenomenon for Locally Univalent Functions and Logarithmic Power Series

In this article we prove Bohr inequalities for sense-preserving K -quasiconformal harmonic mappings defined in the unit disk D and obtain the corresponding results for sense-preserving harmonic mappings. In addition, Bohr inequalities are established for uniformly locally univalent holomorphic funct...

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Bibliographic Details
Published in:Computational methods and function theory 2019-12, Vol.19 (4), p.729-745
Main Authors: Bhowmik, Bappaditya, Das, Nilanjan
Format: Article
Language:English
Subjects:
Analysis
Analytic functions
Computational Mathematics and Numerical Analysis
Functions of a Complex Variable
Inequalities
Mathematics
Mathematics and Statistics
Power series
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Summary:In this article we prove Bohr inequalities for sense-preserving K -quasiconformal harmonic mappings defined in the unit disk D and obtain the corresponding results for sense-preserving harmonic mappings. In addition, Bohr inequalities are established for uniformly locally univalent holomorphic functions, and for log ( f ( z ) / z ) where f is univalent or inverse of a univalent function.
ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-019-00291-y