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This article is cited in 2 scientific papers (total in 2 papers)
Bohr phenomenon for the special family of analytic functions and harmonic mappings
S. A. Alkhaleefah Kazan Federal University,
420008, 18, ul. Kremlevskaya,
Kazan, Russia
Abstract:
In this paper we obtain the sharp Bohr radius for a family of bounded analytic functions $\mathcal B'$ and for the family of sense-preserving $\mathrm{K}$-quasiconformal harmonic mappings of the form $f = h + \overline g$, where $h\in \mathcal B'$.
Keywords:
Bohr inequality, analytic functions, harmonic mappings, sense-preserving $\mathrm{K}$-quasiconformal mappings.
Received: 28.02.2020 Revised: 04.08.2020 Accepted: 11.08.2020
Citation:
S. A. Alkhaleefah, “Bohr phenomenon for the special family of analytic functions and harmonic mappings”, Probl. Anal. Issues Anal., 9(27):3 (2020), 3–13
Linking options:
https://www.mathnet.ru/eng/pa303 https://www.mathnet.ru/eng/pa/v27/i3/p3
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Abstract page: | 83 | Full-text PDF : | 66 | References: | 15 |
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