On the Bohr's inequality for stable mappings
We consider the class of \emph{stable} harmonic mappings $f=h+\overline{g}$ introduced by Martin, Hernandez, and the class of \emph{stable} logharmonic mappings $f=zh\overline{g}$ introduced by AbdulHadi, El-Hajj. We determine Bohr's radius for the classes of stable univalent harmonic mappings,...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We consider the class of \emph{stable} harmonic mappings $f=h+\overline{g}$
introduced by Martin, Hernandez, and the class of \emph{stable} logharmonic
mappings $f=zh\overline{g}$ introduced by AbdulHadi, El-Hajj. We determine
Bohr's radius for the classes of stable univalent harmonic mappings, stable
convex harmonic mappings and stable univalent logharmonic mappings. We also
consider improved and refined versions of Bohr's inequality and discuss the
Bohr's Rogonsiski radius for these family of mappings. |
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| DOI: | 10.48550/arxiv.2203.12863 |