On products of starlike functions. I
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 75-79
Cet article a éte moissonné depuis 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.
@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/}
}
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
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