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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 255, Pages 125–139 (Mi znsl940)  
Injectivity criteria for some domains. II

E. L. Patsevich

Novgorod State University after Yaroslav the Wise
Full-text PDF (241 kB)
Abstract: New sufficient conditions are found for continuously differentiable mappings in some plane domains to be injective. This result is obtained by using the locally homeomorphic extension method. New univalence criteria for meromorphic functions are given by means of the quasiconformal extension method. These criteria are stated in terms of the coefficients of a differential equation related to the Schwarzian derivative of the function under consideration.
Received: 15.12.1997
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 107, Issue 4, Pages 4054–4066
DOI: https://doi.org/10.1023/A:1012440700697
Bibliographic databases:
UDC: 517.548
Language: Russian
Citation: E. L. Patsevich, “Injectivity criteria for some domains. II”, Investigations on linear operators and function theory. Part 26, Zap. Nauchn. Sem. POMI, 255, POMI, St. Petersburg, 1998, 125–139; J. Math. Sci. (New York), 107:4 (2001), 4054–4066
Citation in format AMSBIB
\Bibitem{Pat98}
\by E.~L.~Patsevich
\paper Injectivity criteria for some domains.~II
\inbook Investigations on linear operators and function theory. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 255
\pages 125--139
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl940}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692924}
\zmath{https://zbmath.org/?q=an:0989.30011}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 107
\issue 4
\pages 4054--4066
\crossref{https://doi.org/10.1023/A:1012440700697}
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