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, 2008, Volume 84, Issue 5, Pages 724–731
DOI: https://doi.org/10.4213/mzm3869 (Mi mzm3869) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Sharp Estimates of Newton Coefficients of Univalent Functions

E. G. Kir'yatskii

Vilnius Gediminas Technical University
Full-text PDF (429 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm3869
Abstract: We consider the class of univalent holomorphic functions $F(z)$ in the unit disk which are normalized by conditions $F(0)=0$, $F'(0)=1$. Estimates for the moduli of the Newton coefficients of these functions are established. It is shown that these estimates are sharp.
Keywords: holomorphic function, Newton coefficient, Bieberbach's conjecture, divided difference of $n$th order, maximum principle.
Received: 19.04.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 5, Pages 673–679
DOI: https://doi.org/10.1134/S0001434608110084
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: E. G. Kir'yatskii, “Sharp Estimates of Newton Coefficients of Univalent Functions”, Mat. Zametki, 84:5 (2008), 724–731; Math. Notes, 84:5 (2008), 673–679
Citation in format AMSBIB
\Bibitem{Kir08}
\by E.~G.~Kir'yatskii
\paper Sharp Estimates of Newton Coefficients of Univalent Functions
\jour Mat. Zametki
\yr 2008
\vol 84
\issue 5
\pages 724--731
\mathnet{http://mi.mathnet.ru/mzm3869}
\crossref{https://doi.org/10.4213/mzm3869}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500638}
\transl
\jour Math. Notes
\yr 2008
\vol 84
\issue 5
\pages 673--679
\crossref{https://doi.org/10.1134/S0001434608110084}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262855600008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-59749084634}
Linking options:
  • https://www.mathnet.ru/eng/mzm3869
  • https://doi.org/10.4213/mzm3869
  • https://www.mathnet.ru/eng/mzm/v84/i5/p724
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025