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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)
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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
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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