Problemy analiza, no. 3 (1996), pp. 62-71
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W. Majchrzak; A. Szwankowski. The maximum of some functional for holomorphic and univalent functions with real coefficients. Problemy analiza, no. 3 (1996), pp. 62-71. http://geodesic.mathdoc.fr/item/PA_1996_3_a6/
@article{PA_1996_3_a6,
author = {W. Majchrzak and A. Szwankowski},
title = {The maximum of some functional for holomorphic and univalent functions with real coefficients},
journal = {Problemy analiza},
pages = {62--71},
year = {1996},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PA_1996_3_a6/}
}
TY - JOUR
AU - W. Majchrzak
AU - A. Szwankowski
TI - The maximum of some functional for holomorphic and univalent functions with real coefficients
JO - Problemy analiza
PY - 1996
SP - 62
EP - 71
IS - 3
UR - http://geodesic.mathdoc.fr/item/PA_1996_3_a6/
LA - en
ID - PA_1996_3_a6
ER -
%0 Journal Article
%A W. Majchrzak
%A A. Szwankowski
%T The maximum of some functional for holomorphic and univalent functions with real coefficients
%J Problemy analiza
%D 1996
%P 62-71
%N 3
%U http://geodesic.mathdoc.fr/item/PA_1996_3_a6/
%G en
%F PA_1996_3_a6
In the paper the maximum of the functional $a^{k}_{2}a^{m}_{3}(a_{3}-\alpha a^{2}_{2})$ in the class $S_{R}$ of functions $f(z)=z+\sum_{n=2}^{\infty}a_{n}z^{n}, a_{n}=\overline{a_{n}}$, holomorphic and univalent in the unit disc is obtained for $\alpha$ real and $k, m$ positive integers.
