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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 512, Pages 96–101
DOI: https://doi.org/10.31857/S2686954323600192 (Mi danma406) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Estimate for domain of univalence on the class of holomorphic self-maps of a disc with two boundary fixed points

V. V. Goryainova, O. S. Kudryavtsevabc, A. P. Solodovb

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Russian Federation
b Moscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation
c Volgograd State Technical University, Volgograd, Russian Federation
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DOI: https://doi.org/10.31857/S2686954323600192
Abstract: Holomorphic self-maps of the unit disc with two boundary fixed points, one of which is a Denjoy–Wolff point are investigated. An upper estimate for domain of univalence is obtained for functions in such class, which depends on the value of the angular derivative at the repulsive boundary fixed point.
Keywords: holomorphic map, fixed points, Denjoy–Wolff theorem, angular derivative, domain of univalence.
Funding agency Grant number
Russian Science Foundation 21-11-00131
This study was supported by the Russian Science Foundation, project no. 21-11-00131, and was performed at Lomonosov Moscow State University.
Presented: B. S. Kashin
Received: 30.03.2023
Revised: 14.06.2023
Accepted: 14.07.2023
English version:
Doklady Mathematics, 2023, Volume 108, Issue 1, Pages 326–330
DOI: https://doi.org/10.1134/S1064562423700874
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. V. Goryainov, O. S. Kudryavtseva, A. P. Solodov, “Estimate for domain of univalence on the class of holomorphic self-maps of a disc with two boundary fixed points”, Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023), 96–101; Dokl. Math., 108:1 (2023), 326–330
Citation in format AMSBIB
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\by V.~V.~Goryainov, O.~S.~Kudryavtseva, A.~P.~Solodov
\paper Estimate for domain of univalence on the class of holomorphic self-maps of a disc with two boundary fixed points
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 512
\pages 96--101
\mathnet{http://mi.mathnet.ru/danma406}
\crossref{https://doi.org/10.31857/S2686954323600192}
\elib{https://elibrary.ru/item.asp?id=54538943}
\transl
\jour Dokl. Math.
\yr 2023
\vol 108
\issue 1
\pages 326--330
\crossref{https://doi.org/10.1134/S1064562423700874}
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