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Matematicheskie Zametki, 1975, Volume 18, Issue 6, Pages 793–802 (Mi mzm7691)  
This article is cited in 4 scientific papers (total in 4 papers)

Sufficient conditions for the univalence of quasiconformal mappings

F. G. Avkhadiev

Kazan State University
Full-text PDF (720 kB) Citations (4)
Abstract: Using two methods, quasiconformal continuation involving a theorem of Hadamard and direct estimation of f(z2)−f(z1), we obtain sufficient conditions for the univalence of continuously differentiable mappings f(z) of plane domains which, in the case of conformal mappings, reduce to both well-known and new results.
Received: 24.06.1974
English version:
Mathematical Notes, 1975, Volume 18, Issue 6, Pages 1063–1067
DOI: https://doi.org/10.1007/BF01099982
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: F. G. Avkhadiev, “Sufficient conditions for the univalence of quasiconformal mappings”, Mat. Zametki, 18:6 (1975), 793–802; Math. Notes, 18:6 (1975), 1063–1067
Citation in format AMSBIB
\Bibitem{Avk75}
\by F.~G.~Avkhadiev
\paper Sufficient conditions for the univalence of quasiconformal mappings
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 6
\pages 793--802
\mathnet{http://mi.mathnet.ru/mzm7691}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=396941}
\zmath{https://zbmath.org/?q=an:0349.30009}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 6
\pages 1063--1067
\crossref{https://doi.org/10.1007/BF01099982}
Linking options:
  • https://www.mathnet.ru/eng/mzm7691
  • https://www.mathnet.ru/eng/mzm/v18/i6/p793
    • This publication is cited in the following 4 articles:
    1. R. G. Nasibullin, I. K. Shafigullin, “Avkhadiev–Becker type multivalence conditions for harmonic mappings of a disc”, Russian Math. (Iz. VUZ), 61:3 (2017), 72–76  mathnet  crossref  isi
    2. F. G. Avkhadiev, P. L. Shabalin, “Conformal mappings of circular domains on finitely-connected non-Smirnov type domains”, Ufa Math. J., 9:1 (2017), 3–17  mathnet  crossref  isi  elib
    3. F. G. Avkhadiev, “On locally invertible harmonic mappings of plane domains”, Lobachevskii J Math, 38:3 (2017), 400  crossref
    4. F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Becker type univalence conditions for harmonic mappings”, Russian Math. (Iz. VUZ), 60:11 (2016), 69–73  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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