Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 7, Pages 43–51
DOI: https://doi.org/10.26907/0021-3446-2021-7-43-51 (Mi ivm9694) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Inequality of Schwarz type for holomorphic self-maps of a disc with fixed points

O. S. Kudryavtsevaab

a Moscow State University, Moscow Center of Fundamental and Applied Mathematics, GSP-1, 1 Leninskie Gory, Moscow, 119991 Russia
b Volgograd State Technical University, 28 Lenin Ave., Volgograd, 400005 Russia
Full-text PDF (389 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2021-7-43-51
Abstract: In the class of holomorphic functions that mapping the unit disc into itself and having an inner and two boundary fixed points, the exact set of the values of derivative at zero in terms of the angular derivatives at the boundary fixed points is given. As a corollary in the class of such functions a disc of univalence with center at zero is found.
Keywords: holomorphic mapping, fixed point, angular derivative, Schwarz inequality, domain of univalence.
Funding agency Grant number
Russian Science Foundation 21-11-00131
Received: 27.06.2020
Revised: 26.04.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 7, Pages 35–42
DOI: https://doi.org/10.3103/S1066369X21070057
Document Type: Article
UDC: 517.54
Language: Russian
Citation: O. S. Kudryavtseva, “Inequality of Schwarz type for holomorphic self-maps of a disc with fixed points”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 7, 43–51; Russian Math. (Iz. VUZ), 65:7 (2021), 35–42
Citation in format AMSBIB
\Bibitem{Kud21}
\by O.~S.~Kudryavtseva
\paper Inequality of Schwarz type for holomorphic self-maps of a disc with fixed points
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 7
\pages 43--51
\mathnet{http://mi.mathnet.ru/ivm9694}
\crossref{https://doi.org/10.26907/0021-3446-2021-7-43-51}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 7
\pages 35--42
\crossref{https://doi.org/10.3103/S1066369X21070057}
Linking options:
  • https://www.mathnet.ru/eng/ivm9694
  • https://www.mathnet.ru/eng/ivm/y2021/i7/p43
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:174
    Full-text PDF :35
    References:20
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024