Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 14, Tome 237 (1997), pp. 46-55
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E. G. Goluzina. On the value region of $f(z_0)$ in one class of typically real functions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 14, Tome 237 (1997), pp. 46-55. http://geodesic.mathdoc.fr/item/ZNSL_1997_237_a5/
@article{ZNSL_1997_237_a5,
author = {E. G. Goluzina},
title = {On the value region of $f(z_0)$ in one class of typically real functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {46--55},
year = {1997},
volume = {237},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_237_a5/}
}
TY - JOUR
AU - E. G. Goluzina
TI - On the value region of $f(z_0)$ in one class of typically real functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 46
EP - 55
VL - 237
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_237_a5/
LA - ru
ID - ZNSL_1997_237_a5
ER -
%0 Journal Article
%A E. G. Goluzina
%T On the value region of $f(z_0)$ in one class of typically real functions
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 46-55
%V 237
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_237_a5/
%G ru
%F ZNSL_1997_237_a5
Let $T_R$ be the class of functions $f(z)$ with $f(0)=0$ and $f'(0)=1$ that are regular and typically real in the disk $|z|<1$. The region of values of the system $\{f(z_0), f(r), f''(0)/2\}$ (for fixed $z_0$ and $r$, $0) on the class $T_R$ is determined. The region of values of $f(z_0)$ on the class of functions from $T_R$ with fixed $f(r)$ and $f''(0)$ is found.