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- W4310366709 abstract "Based on improving the classical Bohr inequality, we get in this paper some refined versions for a quasi-subordination family of functions, one of which is key to build our results. By means of these investigations, for a family of harmonic mappings defined in the unit disk $D$, we establish an improved Bohr inequality with refined Bohr radius under particular conditions. Along the line of extremal problems concerning the refined Bohr radius, we derive a series of results. % in a logical way. Here the family of harmonic mappings have the form $f=h+overline{g}$, where $g(0)=0$, the analytic part $h$ is bounded by 1 and that $|g'(z)|leq k|h'(z)|$ in $D$ and for some $kin[0,1]$." @default.
- W4310366709 created "2022-12-09" @default.
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- W4310366709 date "2021-03-28" @default.
- W4310366709 modified "2023-09-26" @default.
- W4310366709 title "Improved Bohr inequality for harmonic mappings" @default.
- W4310366709 doi "https://doi.org/10.48550/arxiv.2103.15064" @default.
- W4310366709 hasPublicationYear "2021" @default.
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