Bohr Phenomenon for Locally Univalent Functions and Logarithmic Power Series

被引:17
作者
Bhowmik, Bappaditya [1 ]
Das, Nilanjan [1 ]
机构
[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India
关键词
Bohr radius; Locally univalent functions; Logarithmic coefficients; SUBORDINATING FAMILIES; COEFFICIENTS; THEOREM; INEQUALITIES; RADIUS;
D O I
10.1007/s40315-019-00291-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
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页码:729 / 745
页数:17
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