Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 715-722
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L. P. Il'ina. On the mutual growth of neighboring coefficients of univalent functions. Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 715-722. http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a11/
@article{MZM_1968_4_6_a11,
author = {L. P. Il'ina},
title = {On the mutual growth of neighboring coefficients of univalent functions},
journal = {Matemati\v{c}eskie zametki},
pages = {715--722},
year = {1968},
volume = {4},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a11/}
}
TY - JOUR
AU - L. P. Il'ina
TI - On the mutual growth of neighboring coefficients of univalent functions
JO - Matematičeskie zametki
PY - 1968
SP - 715
EP - 722
VL - 4
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a11/
LA - ru
ID - MZM_1968_4_6_a11
ER -
%0 Journal Article
%A L. P. Il'ina
%T On the mutual growth of neighboring coefficients of univalent functions
%J Matematičeskie zametki
%D 1968
%P 715-722
%V 4
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a11/
%G ru
%F MZM_1968_4_6_a11
In the class $S$ of functions $f(z)=z+c_2z^2+c_3z^3+\dotsb$, regular and univalent in $|z|<1$, the following bound is obtained: $||c_{n+1}|-|c_n||<4.26$, $n=1,2,\dots$
