Matematičeskie zametki, Tome 11 (1972) no. 6, pp. 609-618
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A. Z. Grinshpan. The application of the area principle to the Bieberbach–Eilenberg functions. Matematičeskie zametki, Tome 11 (1972) no. 6, pp. 609-618. http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a0/
@article{MZM_1972_11_6_a0,
author = {A. Z. Grinshpan},
title = {The application of the area principle to the {Bieberbach{\textendash}Eilenberg} functions},
journal = {Matemati\v{c}eskie zametki},
pages = {609--618},
year = {1972},
volume = {11},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a0/}
}
TY - JOUR
AU - A. Z. Grinshpan
TI - The application of the area principle to the Bieberbach–Eilenberg functions
JO - Matematičeskie zametki
PY - 1972
SP - 609
EP - 618
VL - 11
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a0/
LA - ru
ID - MZM_1972_11_6_a0
ER -
%0 Journal Article
%A A. Z. Grinshpan
%T The application of the area principle to the Bieberbach–Eilenberg functions
%J Matematičeskie zametki
%D 1972
%P 609-618
%V 11
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a0/
%G ru
%F MZM_1972_11_6_a0
A series of inequalities are obtained for the logarithmic areas of functions of the form $f(z)=\sum_{k=1}^\infty a_kz^k$ and $\varphi(z)=\frac{R}2+\sum_{k=0}^\infty a'_kz^k$, univalent in the circle $|z|<1$, and also for the Taylor coefficients of the Bieberbach–Eilenberg functions.
