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Problemy Analiza — Issues of Analysis, 2017, Volume 6(24), Issue 2, Pages 42–56
DOI: https://doi.org/10.15393/j3.art.2017.4230 (Mi pa219) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Schwarzian derivatives of harmonic functions and univalence conditions

S. Yu. Grafab

a Tver State University, 33, Zheliabova st., Tver 170100, Russia
b Petrozavodsk State University, 33, Lenina st., Petrozavodsk 185910, Russia
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DOI: https://doi.org/10.15393/j3.art.2017.4230
Abstract: In the paper we obtain some analogues of Nehari's univalence conditions for sense-preserving functions that are harmonic in the unit disc $\Bbb D=\{z\in\Bbb C:\,|z|<1\}$.
Keywords: harmonic mappings, univalence criteria, Schwarzian derivative.
Funding agency Grant number
Russian Science Foundation 17-11-01229
This work is supported by the Russian Science Foundation under grant 17-11-01229.
Received: 13.09.2017
Revised: 08.12.2017
Accepted: 13.12.2017
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C45, 30C55, 30C99
Language: English
Citation: S. Yu. Graf, “The Schwarzian derivatives of harmonic functions and univalence conditions”, Probl. Anal. Issues Anal., 6(24):2 (2017), 42–56
Citation in format AMSBIB
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\by S.~Yu.~Graf
\paper The Schwarzian derivatives of harmonic functions and univalence conditions
\jour Probl. Anal. Issues Anal.
\yr 2017
\vol 6(24)
\issue 2
\pages 42--56
\mathnet{http://mi.mathnet.ru/pa219}
\crossref{https://doi.org/10.15393/j3.art.2017.4230}
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\elib{https://elibrary.ru/item.asp?id=32286871}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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