Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 633-640
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V. V. Goryainov. A rotation theorem in the class of bounded univalent functions. Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 633-640. http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a0/
@article{MZM_1975_18_5_a0,
author = {V. V. Goryainov},
title = {A~rotation theorem in the class of bounded univalent functions},
journal = {Matemati\v{c}eskie zametki},
pages = {633--640},
year = {1975},
volume = {18},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a0/}
}
TY - JOUR
AU - V. V. Goryainov
TI - A rotation theorem in the class of bounded univalent functions
JO - Matematičeskie zametki
PY - 1975
SP - 633
EP - 640
VL - 18
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a0/
LA - ru
ID - MZM_1975_18_5_a0
ER -
%0 Journal Article
%A V. V. Goryainov
%T A rotation theorem in the class of bounded univalent functions
%J Matematičeskie zametki
%D 1975
%P 633-640
%V 18
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a0/
%G ru
%F MZM_1975_18_5_a0
Let $S_M$, $M>1$, be the class of functions $f(z)$ which are regular and univalent in the disk $|z|<1$ and satisfy the conditions $f(0)=0$, $f'(0)=1$, $|f(z)|. In the present note we will obtain an exact estimate for the argument of the derivative of a function of the class $S_M$.
