On products of starlike functions. I
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 75-79
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We deal with functions given by the formula $F(z) = zG'(z) = z∏_{j=1}^n (f_j(z)/z)^{a_j}$ where $f_j(z)$ are starlike of order $α_j$ and $a_j$ are complex constants. In particular, radii of starlikeness and convexity as well as orders of starlikeness and convexity are found.
Georgi Dimkov. On products of starlike functions. I. Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 75-79. doi: 10.4064/ap-55-1-75-79
@article{10_4064_ap_55_1_75_79,
author = {Georgi Dimkov},
title = {On products of starlike functions. {I}},
journal = {Annales Polonici Mathematici},
pages = {75--79},
year = {1991},
volume = {55},
number = {1},
doi = {10.4064/ap-55-1-75-79},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-75-79/}
}
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