Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part VII, Tome 139 (1984), pp. 156-167
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S. I. Fedorov. The moduli of certain families of curves and the range of $f(\zeta_0)$ in the class of univalent functions with real coefficients. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part VII, Tome 139 (1984), pp. 156-167. http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a11/
@article{ZNSL_1984_139_a11,
author = {S. I. Fedorov},
title = {The moduli of certain families of curves and the range of $f(\zeta_0)$ in the class of univalent functions with real coefficients},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {156--167},
year = {1984},
volume = {139},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a11/}
}
TY - JOUR
AU - S. I. Fedorov
TI - The moduli of certain families of curves and the range of $f(\zeta_0)$ in the class of univalent functions with real coefficients
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 156
EP - 167
VL - 139
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a11/
LA - ru
ID - ZNSL_1984_139_a11
ER -
%0 Journal Article
%A S. I. Fedorov
%T The moduli of certain families of curves and the range of $f(\zeta_0)$ in the class of univalent functions with real coefficients
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 156-167
%V 139
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a11/
%G ru
%F ZNSL_1984_139_a11
By simultaneously considering two moduli problems for pairs of homotopic classes of curves a complete solution is obtained of the problem of the range of functions of the class $S_R$, where $S_R$ is the class of functions in $S$ with real coefficients, at a fixed point $\zeta_0$ of the disk $|\zeta|<1$, and $\min|f(\zeta_0)|$ in the class $S_R$ is also found. Partial results in this problem were obtained earlier by J. Jenkins and V. V. Chernikov.
