Problemy analiza, no. 5 (1998), pp. 105-110
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W. Majchrzak; A. Szwankowski. Coefficient problem for some class of functions nonvanishing in the unit disk. Problemy analiza, no. 5 (1998), pp. 105-110. http://geodesic.mathdoc.fr/item/PA_1998_5_a2/
@article{PA_1998_5_a2,
author = {W. Majchrzak and A. Szwankowski},
title = {Coefficient problem for some class of functions nonvanishing in the unit disk},
journal = {Problemy analiza},
pages = {105--110},
year = {1998},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PA_1998_5_a2/}
}
TY - JOUR
AU - W. Majchrzak
AU - A. Szwankowski
TI - Coefficient problem for some class of functions nonvanishing in the unit disk
JO - Problemy analiza
PY - 1998
SP - 105
EP - 110
IS - 5
UR - http://geodesic.mathdoc.fr/item/PA_1998_5_a2/
LA - en
ID - PA_1998_5_a2
ER -
%0 Journal Article
%A W. Majchrzak
%A A. Szwankowski
%T Coefficient problem for some class of functions nonvanishing in the unit disk
%J Problemy analiza
%D 1998
%P 105-110
%N 5
%U http://geodesic.mathdoc.fr/item/PA_1998_5_a2/
%G en
%F PA_1998_5_a2
In this paper we determine the bounds of the functional $b_2-\alpha b_1, \alpha$-real, for holomorphic univalent and bounded functions, symmetric with respect to the real axis, nonvanishing in the unit disk. The result generalized the estimates of $b_1$ and $b_2$ for these functions, obtained by Sladkowska [4].
