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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
    Математические заметки Mathematical Notes
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