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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2020 Volume 9(27), Issue 3, Pages 3–13 (Mi pa303)

This article is cited 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.

UDC: 517.53, 517.54, 517.57

MSC: Primary 30A10, 30B10; 30C62, 30H05, 31A05, 41A58; Secondary 30C75, 40A30

Received: 28.02.2020
Revised: 04.08.2020
Accepted: 11.08.2020

Language: English

DOI: 10.15393/j3.art.2020.7990



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