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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 7, Pages 91–95
DOI: https://doi.org/10.26907/0021-3446-2019-7-91-95 (Mi ivm9486) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Two-sided estimate of univalence domains of holomorphic mappings of the disc into itself with an invariant diameter

O. S. Kudryavtsevaa, A. P. Solodovb

a Volgograd State Technical University, 28 Lenin Ave., Volgograd, 400005 Russia
b Lomonosov Moscow State University, 1 Leninskie Gory str., Moscow, 119991 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-7-91-95
Abstract: We obtain an asymptotically sharp two-sided estimate of univalence domains on classes of holomorphic mappings of the unit disc into itself with two boundary fixed points and an invariant diameter. The estimate depends on the value of the product of the angular derivatives at the boundary fixed points.
Keywords: holomorphic mapping, fixed point, angular derivative, domain of univalence.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6222.2018.1
Received: 20.02.2019
Revised: 20.02.2019
Accepted: 27.03.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 7, Pages 80–83
DOI: https://doi.org/10.3103/S1066369X19070090
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: O. S. Kudryavtseva, A. P. Solodov, “Two-sided estimate of univalence domains of holomorphic mappings of the disc into itself with an invariant diameter”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7, 91–95; Russian Math. (Iz. VUZ), 63:7 (2019), 80–83
Citation in format AMSBIB
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\paper Two-sided estimate of univalence domains of holomorphic mappings of the disc into itself with an invariant diameter
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\issue 7
\pages 91--95
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\vol 63
\issue 7
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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