Matematičeskie zametki, Tome 20 (1976) no. 1, pp. 105-112
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P. I. Sizhuk. The radius of almost convexity of order $\alpha$ in the class of univalent functions. Matematičeskie zametki, Tome 20 (1976) no. 1, pp. 105-112. http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a10/
@article{MZM_1976_20_1_a10,
author = {P. I. Sizhuk},
title = {The radius of almost convexity of order $\alpha$ in the class of univalent functions},
journal = {Matemati\v{c}eskie zametki},
pages = {105--112},
year = {1976},
volume = {20},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a10/}
}
TY - JOUR
AU - P. I. Sizhuk
TI - The radius of almost convexity of order $\alpha$ in the class of univalent functions
JO - Matematičeskie zametki
PY - 1976
SP - 105
EP - 112
VL - 20
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a10/
LA - ru
ID - MZM_1976_20_1_a10
ER -
%0 Journal Article
%A P. I. Sizhuk
%T The radius of almost convexity of order $\alpha$ in the class of univalent functions
%J Matematičeskie zametki
%D 1976
%P 105-112
%V 20
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a10/
%G ru
%F MZM_1976_20_1_a10
In this paper the radius of almost convexity of order $\alpha$ in the class of functions $f(z)=z+a_2z^2+\dots$ analytic and univalent in $|z|<1$ is found. The solution to a problem of A. Renyi is given in this connection.