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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 3, Pages 3–13
DOI: https://doi.org/10.15393/j3.art.2020.7990
(Mi pa303)
 

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
Full-text PDF (445 kB) Citations (2)
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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
Bibliographic databases:
Document Type: Article
UDC: 517.53, 517.54, 517.57
MSC: Primary 30A10, 30B10; 30C62, 30H05, 31A05, 41A58; Secondary 30C75, 40A30
Language: English
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
Citation in format AMSBIB
\Bibitem{Alk20}
\by S.~A.~Alkhaleefah
\paper Bohr phenomenon for the special family of analytic functions and harmonic mappings
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 3
\pages 3--13
\mathnet{http://mi.mathnet.ru/pa303}
\crossref{https://doi.org/10.15393/j3.art.2020.7990}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000590954400001}
\elib{https://elibrary.ru/item.asp?id=46756743}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Problemy Analiza — Issues of Analysis
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