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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 505, Pages 46–49
DOI: https://doi.org/10.31857/S2686954322040117 (Mi danma276) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Generalization of the Landau and Becker–Pommerenke inequalities

O. S. Kudryavtsevaab, A. P. Solodova

a Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia
b Volgograd State Technical University, Volgograd, Russia
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DOI: https://doi.org/10.31857/S2686954322040117
Abstract: A generalization of the Landau and Becker–Pommerenke inequalities, which are used to solve the problem of sharp domains of univalence in subclasses of holomorphic maps, is obtained.
Keywords: holomorphic map, fixed points, angular derivative, domain of univalence.
Funding agency Grant number
Russian Science Foundation 21-11-00131
This work was performed at Lomonosov Moscow State University and was supported by the Russian Science Foundation, project no. 21-11-00131.
Presented: B. S. Kashin
Received: 01.04.2022
Revised: 30.04.2022
Accepted: 27.05.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 1, Pages 251–253
DOI: https://doi.org/10.1134/S1064562422040111
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: O. S. Kudryavtseva, A. P. Solodov, “Generalization of the Landau and Becker–Pommerenke inequalities”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022), 46–49; Dokl. Math., 106:1 (2022), 251–253
Citation in format AMSBIB
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\paper Generalization of the Landau and Becker--Pommerenke inequalities
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\elib{https://elibrary.ru/item.asp?id=49344496}
\transl
\jour Dokl. Math.
\yr 2022
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\pages 251--253
\crossref{https://doi.org/10.1134/S1064562422040111}
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  • https://www.mathnet.ru/eng/danma276
  • https://www.mathnet.ru/eng/danma/v505/p46
    • This publication is cited in the following 1 articles:
    1. V. V. Goryainov, O. S. Kudryavtseva, A. P. Solodov, “Iterates of holomorphic maps, fixed points, and domains of univalence”, Russian Math. Surveys, 77:6 (2022), 959–1020  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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