Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2023, Volume 113, Issue 5, Pages 731–737
DOI: https://doi.org/10.4213/mzm13780 (Mi mzm13780) 		 
Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points

O. S. Kudryavtsevaabc, A. P. Solodovab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics
c Volgograd State Technical University
Full-text PDF (504 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm13780
Abstract: On the class of holomorphic self-mappings of the unit disk with an internal and a boundary fixed point, we consider the problem of describing the domains of Taylor coefficients depending on the values of the angular derivative at the boundary fixed point. An optimal horocycle containing the domain of the second coefficient is found.
Keywords: holomorphic mapping, fixed points, angular derivative, domains of coefficients.
Funding agency Grant number
Russian Science Foundation 21-11-00131
This work was supported by the Russian Science Foundation under grant no. 21-11-00131 at Lomonosov Moscow State University.
Received: 20.10.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 5, Pages 694–699
DOI: https://doi.org/10.1134/S0001434623050085
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30CXX
Language: Russian
Citation: O. S. Kudryavtseva, A. P. Solodov, “Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points”, Mat. Zametki, 113:5 (2023), 731–737; Math. Notes, 113:5 (2023), 694–699
Citation in format AMSBIB
\Bibitem{KudSol23}
\by O.~S.~Kudryavtseva, A.~P.~Solodov
\paper Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 5
\pages 731--737
\mathnet{http://mi.mathnet.ru/mzm13780}
\crossref{https://doi.org/10.4213/mzm13780}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4602435}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 5
\pages 694--699
\crossref{https://doi.org/10.1134/S0001434623050085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85162697329}
Linking options:
  • https://www.mathnet.ru/eng/mzm13780
  • https://doi.org/10.4213/mzm13780
  • https://www.mathnet.ru/eng/mzm/v113/i5/p731
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:140
    Full-text PDF :10
    Russian version HTML:71
    References:34
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024