Geodesic
Sharp Estimates of Newton Coefficients of Univalent Functions
Matematičeskie zametki, Tome 84 (2008) no. 5, pp. 724-731

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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, Bieberbach's conjecture, divided difference of $n$th order, maximum principle.
Mots-clés : Newton coefficient 
@article{MZM_2008_84_5_a7,
     author = {E. G. Kir'yatskii},
     title = {Sharp {Estimates} of {Newton} {Coefficients} of {Univalent} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {724--731},
     publisher = {mathdoc},
     volume = {84},
     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a7/}
}
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E. G. Kir'yatskii. Sharp Estimates of Newton Coefficients of Univalent Functions. Matematičeskie zametki, Tome 84 (2008) no. 5, pp. 724-731. http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a7/