Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2020, Volume 211, Issue 11, Pages 1592–1611
DOI: https://doi.org/10.1070/SM9367 (Mi sm9367) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter

O. S. Kudryavtsevaab, A. P. Solodovca

a Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia
b Volgograd State Technical University, Volgograd, Russia
c Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
English version PDF (534 kB) Citations (7) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM9367
Abstract: Holomorphic self-maps of the unit disc with two fixed diametrically opposite boundary points and an invariant diameter are investigated. Asymptotically sharp estimates for domains of univalence are obtained for functions in such classes, which depend on the product of the angular derivatives at the boundary fixed points.
Bibliography: 16 titles.
Keywords: holomorphic map, fixed points, angular derivative, domain of univalence.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00584-а
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 20-01-00584-a).
Received: 30.12.2019 and 07.08.2020
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C45, 30C55
Language: English
Original paper language: Russian
Citation: O. S. Kudryavtseva, A. P. Solodov, “Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter”, Sb. Math., 211:11 (2020), 1592–1611
Citation in format AMSBIB
\Bibitem{KudSol20}
\by O.~S.~Kudryavtseva, A.~P.~Solodov
\paper Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a~disc with an invariant diameter
\jour Sb. Math.
\yr 2020
\vol 211
\issue 11
\pages 1592--1611
\mathnet{http://mi.mathnet.ru//eng/sm9367}
\crossref{https://doi.org/10.1070/SM9367}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4169732}
\zmath{https://zbmath.org/?q=an:1461.30041}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020SbMat.211.1592K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000612843100001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85099608529}
Linking options:
  • https://www.mathnet.ru/eng/sm9367
  • https://doi.org/10.1070/SM9367
  • https://www.mathnet.ru/eng/sm/v211/i11/p96
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:453
    Russian version PDF:43
    English version PDF:28
    References:43
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024