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Matematicheskie Zametki, 1973, Volume 13, Issue 3, Pages 359–366 (Mi mzm7131)  
This article is cited in 5 scientific papers (total in 5 papers)

On some criteria for the univalence of analytic functions

S. N. Kudryashov

Rostov State University
Full-text PDF (483 kB) Citations (5)
Abstract: Criteria for the univalence of functions $f(z)$ which are regular in the domain $|z|<1$ are obtained in the form of restrictions on the modulus of the quotient $f''(z)[f'(z)]^{-1}$. Analogous results are obtained also for functions which are analytic in the interior of the unit disk except for a simple pole at infinity.
Received: 20.04.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 3, Pages 219–223
DOI: https://doi.org/10.1007/BF01155659
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. N. Kudryashov, “On some criteria for the univalence of analytic functions”, Mat. Zametki, 13:3 (1973), 359–366; Math. Notes, 13:3 (1973), 219–223
Citation in format AMSBIB
\Bibitem{Kud73}
\by S.~N.~Kudryashov
\paper On some criteria for the univalence of analytic functions
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 3
\pages 359--366
\mathnet{http://mi.mathnet.ru/mzm7131}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=318475}
\zmath{https://zbmath.org/?q=an:0271.30017|0253.30008}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 3
\pages 219--223
\crossref{https://doi.org/10.1007/BF01155659}
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  • https://www.mathnet.ru/eng/mzm/v13/i3/p359
    • This publication is cited in the following 5 articles:
    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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