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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 298, Pages 101–111
DOI: https://doi.org/10.1134/S0371968517030074 (Mi tm3813) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Holomorphic Mappings of a Strip into Itself with Bounded Distortion at Infinity

V. V. Goryainov

Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701 Russia
Full-text PDF (190 kB) Citations (7)
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DOI: https://doi.org/10.1134/S0371968517030074
Abstract: A class of holomorphic self-mappings of a strip which is symmetric with respect to the real axis is studied. It is required that the mappings should boundedly deviate from the identity transformation on the real axis. Distortion theorems for this class of functions are obtained, and domains of univalence are found that arise for certain values of the parameter characterizing the deviation of the mappings from the identity transformation on the real axis.
Keywords: holomorphic mapping, fixed point, domains of univalence, angular derivative, distortion theorems.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00674-а
Ministry of Education and Science of the Russian Federation НШ-9110.2016.1
This work was supported by the Russian Foundation for Basic Research (project no. 16-01-00674-a) and by a grant of the President of the Russian Federation (project no. NSh-9110.2016.1).
Received: January 27, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 298, Pages 94–103
DOI: https://doi.org/10.1134/S0081543817060074
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. V. Goryainov, “Holomorphic Mappings of a Strip into Itself with Bounded Distortion at Infinity”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 101–111; Proc. Steklov Inst. Math., 298 (2017), 94–103
Citation in format AMSBIB
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\paper Holomorphic Mappings of a Strip into Itself with Bounded Distortion at Infinity
\inbook Complex analysis and its applications
\bookinfo Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 298
\pages 101--111
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 7 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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