Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 24, Tome 371 (2009), pp. 171-175
Citer cet article
E. G. Goluzina. On distortion theorems for typically real functions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 24, Tome 371 (2009), pp. 171-175. http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a12/
@article{ZNSL_2009_371_a12,
author = {E. G. Goluzina},
title = {On distortion theorems for typically real functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {171--175},
year = {2009},
volume = {371},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a12/}
}
TY - JOUR
AU - E. G. Goluzina
TI - On distortion theorems for typically real functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2009
SP - 171
EP - 175
VL - 371
UR - http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a12/
LA - ru
ID - ZNSL_2009_371_a12
ER -
%0 Journal Article
%A E. G. Goluzina
%T On distortion theorems for typically real functions
%J Zapiski Nauchnykh Seminarov POMI
%D 2009
%P 171-175
%V 371
%U http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a12/
%G ru
%F ZNSL_2009_371_a12
The author's investigation in the class $T$ of typically real functions $f(z)$ in the disk $|z|<1$ are prolonged. The region of values of $f'(z_1)$ in the class of functions $f\in T$ with fixed values $f(z_1)$ and $f(r_j)$$(j=1,2)$ is determined. Here $|z_1|<1$, $\operatorname{Im}z_1\ne0$, $0$(j=1,2)$. Bibl. – 4 titles.