On the value regions of systems $\{f(z_1),f'(z_1)\}$ and $\{f(z_1),f(z_2)\}$ in the class of typically real functions
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 15, Tome 254 (1998), pp. 65-75
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In the class $T$ consisting of regular and typically real functions in the disk $|x|<1$, the value regions of the system $\{f(z_1),f'(z_1)\}$ and $\{f(z_1),f(z_2)\}$ are found for fixed $z_1$ and $z_2$. As an application, the value regions of $f'(z_1)$ and $f(z_2)$ are found for $f\in T$ with fixed value $f(z_1)$.
@article{ZNSL_1998_254_a3,
author = {E. G. Goluzina},
title = {On the value regions of systems $\{f(z_1),f'(z_1)\}$ and $\{f(z_1),f(z_2)\}$ in the class of typically real functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {65--75},
year = {1998},
volume = {254},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a3/}
}
TY - JOUR
AU - E. G. Goluzina
TI - On the value regions of systems $\{f(z_1),f'(z_1)\}$ and $\{f(z_1),f(z_2)\}$ in the class of typically real functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 65
EP - 75
VL - 254
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a3/
LA - ru
ID - ZNSL_1998_254_a3
ER -
E. G. Goluzina. On the value regions of systems $\{f(z_1),f'(z_1)\}$ and $\{f(z_1),f(z_2)\}$ in the class of typically real functions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 15, Tome 254 (1998), pp. 65-75. http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a3/