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Matematicheskie Zametki, 2021, Volume 109, Issue 4, Pages 636–640
DOI: https://doi.org/10.4213/mzm13044 (Mi mzm13044) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Brief Communications

Schwarz's Lemma and Estimates of Coefficients in the Case of an Arbitrary Set of Boundary Fixed Points

O. S. Kudryavtsevaab

a Moscow Center for Fundamental and Applied Mathematics
b Volgograd State Technical University
Full-text PDF (342 kB) Citations (5)
References:
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DOI: https://doi.org/10.4213/mzm13044
Keywords: holomorphic map, fixed points, angular derivative, Schwarz's lemma, domains of coefficients.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00584
Ministry of Education and Science of the Russian Federation 14.W03.31.0031
The work on Theorem 3 was supported by the Russian Foundation for Basic Research under grant no. 20-01-00584. The work on Theorems 1 and 2 was supported by the Government of the Russian Federation (grant no. 14.W03.31.0031).
Received: 01.12.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 4, Pages 653–657
DOI: https://doi.org/10.1134/S0001434621030378
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. S. Kudryavtseva, “Schwarz's Lemma and Estimates of Coefficients in the Case of an Arbitrary Set of Boundary Fixed Points”, Mat. Zametki, 109:4 (2021), 636–640; Math. Notes, 109:4 (2021), 653–657
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    1. O. S. Kudryavtseva, A. P. Solodov, “Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points”, Math. Notes, 113:5 (2023), 694–699  mathnet  crossref  crossref  mathscinet
    2. O. S. Kudryavtseva, “Tochnye oblasti vzaimnogo izmeneniya koeffitsientov golomorfnykh otobrazhenii kruga v sebya s nepodvizhnymi tochkami”, Izv. vuzov. Matem., 2023, no. 5, 48–57  mathnet  crossref
    3. O. S. Kudryavtseva, “Exact Regions of Mutual Variation of Coefficients of Holomorphic Self-Maps of a Disc with Fixed Points”, Russ Math., 67:5 (2023), 41  crossref
    4. 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
    5. Kudryavtseva O., Solodov A., “On the Boundary Dieudonne-Pick Lemma”, Mathematics, 9:10 (2021), 1108  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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