The sharp version of a criterion for starlikeness related to the operator of Alexander
Annales Polonici Mathematici, Tome 94 (2008) no. 1, pp. 1-14
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The method of convolution is used to determine
a sharp condition for starlikeness of analytic functions defined
in the unit disc $U=\{z\in{\mathbb C}:|z|1\}$ and having the property
$f(0)=f'(0)-1=0$. The integral version is given using the
Alexander integral operator.
Keywords:
method convolution determine sharp condition starlikeness analytic functions defined unit disc mathbb having property integral version given using alexander integral operator
Affiliations des auteurs :
Róbert Szász 1
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author = {R\'obert Sz\'asz},
title = {The sharp version of a criterion for starlikeness related to the operator of {Alexander}},
journal = {Annales Polonici Mathematici},
pages = {1--14},
publisher = {mathdoc},
volume = {94},
number = {1},
year = {2008},
doi = {10.4064/ap94-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap94-1-1/}
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TY - JOUR AU - Róbert Szász TI - The sharp version of a criterion for starlikeness related to the operator of Alexander JO - Annales Polonici Mathematici PY - 2008 SP - 1 EP - 14 VL - 94 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap94-1-1/ DO - 10.4064/ap94-1-1 LA - en ID - 10_4064_ap94_1_1 ER -
Róbert Szász. The sharp version of a criterion for starlikeness related to the operator of Alexander. Annales Polonici Mathematici, Tome 94 (2008) no. 1, pp. 1-14. doi: 10.4064/ap94-1-1
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