RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
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


Mat. Sb., 2019, Volume 210, Number 7, Pages 120–144 (Mi msb9095)  

This article is cited in 2 scientific papers (total in 2 papers)

Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points

O. S. Kudryavtsevaa, A. P. Solodovb

a Volgograd State Technical University, Volgograd, Russia
b Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

Abstract: We investigate the class of holomorphic maps of a disc into itself that have an interior and a boundary fixed point, as well as the class of holomorphic maps of a half-plane into itself that have a fixed point in the interior of the domain and a fixed point at infinity. Two-sided estimates for domains of univalence are obtained for these function classes in terms of the values of the angular derivative at the boundary fixed point and the position of the interior fixed point.
Bibliography: 21 titles.

Keywords: holomorphic map, fixed points, angular derivative, domain of univalence.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation НШ-6222.2018.1
The research of A. P. Solodov was supported by the Russian Federation President grant for the state support of the leading scientific schools of the Russian Federation (grant no. NSh-6222.2018.1).

Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/sm9095

Full text: PDF file (738 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Sbornik: Mathematics, 2019, 210:7, 1019–1042

Bibliographic databases:

UDC: 517.54
Received: 01.03.2018 and 25.08.2018

Citation: O. S. Kudryavtseva, A. P. Solodov, “Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points”, Mat. Sb., 210:7 (2019), 120–144; Sb. Math., 210:7 (2019), 1019–1042

Citation in format AMSBIB
\Bibitem{KudSol19}
\by O.~S.~Kudryavtseva, A.~P.~Solodov
\paper Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a~disc with two fixed points
\jour Mat. Sb.
\yr 2019
\vol 210
\issue 7
\pages 120--144
\mathnet{http://mi.mathnet.ru/msb9095}
\crossref{https://doi.org/10.4213/sm9095}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2019SbMat.210.1019K}
\elib{http://elibrary.ru/item.asp?id=38487815}
\transl
\jour Sb. Math.
\yr 2019
\vol 210
\issue 7
\pages 1019--1042
\crossref{https://doi.org/10.1070/SM9095}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000485821800004}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85073022029}


Linking options:
  • http://mi.mathnet.ru/eng/msb9095
  • https://doi.org/10.4213/sm9095
  • http://mi.mathnet.ru/eng/msb/v210/i7/p120

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. O. S. Kudryavtseva, A. P. Solodov, “Dvustoronnyaya otsenka oblastei odnolistnosti golomorfnykh otobrazhenii kruga v sebya s invariantnym diametrom”, Izv. vuzov. Matem., 2019, no. 7, 91–95  mathnet  crossref
    2. A. P. Solodov, “Usilenie teoremy Landau dlya golomorfnykh otobrazhenii kruga v sebya s nepodvizhnymi tochkami”, Matem. zametki, 108:4 (2020), 638–640  mathnet
  • Математический сборник Sbornik: Mathematics (from 1967)
    Number of views:
    This page:317
    References:19
    First page:13

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020