On the mutual change of values of a~function and its coefficients in the class of typically real functions
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIV, Tome 395 (2011), pp. 20-30
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The paper coninues investigations of the well-known class $T$ of typically real functions $f(z)$ in the disk $U=\{z\colon|z|1\}$. The region of values of the system $\{c_2,c_3,f(z_1),f(z_2)\}$ in the class $T$ is studied. The region of values of $f(z_2)$ in the class of functions $f\in T$ with fixed values $c_2,c_3$ and $f(z_1)$ is determined.
@article{ZNSL_2011_395_a2,
author = {E. G. Goluzina},
title = {On the mutual change of values of a~function and its coefficients in the class of typically real functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {20--30},
publisher = {mathdoc},
volume = {395},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_395_a2/}
}
TY - JOUR AU - E. G. Goluzina TI - On the mutual change of values of a~function and its coefficients in the class of typically real functions JO - Zapiski Nauchnykh Seminarov POMI PY - 2011 SP - 20 EP - 30 VL - 395 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2011_395_a2/ LA - ru ID - ZNSL_2011_395_a2 ER -
E. G. Goluzina. On the mutual change of values of a~function and its coefficients in the class of typically real functions. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIV, Tome 395 (2011), pp. 20-30. http://geodesic.mathdoc.fr/item/ZNSL_2011_395_a2/