On the region of values of the system $\{c_2,f(z_1),f(z_2)\}$ in the class of typically real finctions
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 24, Tome 371 (2009), pp. 7-17
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The author's investigations in the well known class $T$ of typically real functions $f(z)$ in the disk $U=\{z\colon|z|1\}$ are prolonged. The region of values of the system $\{c_2,f(z_1),f(z_2)\}$ in the class $T$ is investigated. As a corollary, the region of values $f(z_2)$ in the class of functions $f\in T$ with fixed values $c_2$ and $f(z_1)$ is determined. In the proof a criterion of decision power moment problem is used. Bibl. – 8 titles.
@article{ZNSL_2009_371_a1,
author = {E. G. Goluzina},
title = {On the region of values of the system $\{c_2,f(z_1),f(z_2)\}$ in the class of typically real finctions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {7--17},
publisher = {mathdoc},
volume = {371},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a1/}
}
TY - JOUR
AU - E. G. Goluzina
TI - On the region of values of the system $\{c_2,f(z_1),f(z_2)\}$ in the class of typically real finctions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2009
SP - 7
EP - 17
VL - 371
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a1/
LA - ru
ID - ZNSL_2009_371_a1
ER -
E. G. Goluzina. On the region of values of the system $\{c_2,f(z_1),f(z_2)\}$ in the class of typically real finctions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 24, Tome 371 (2009), pp. 7-17. http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a1/