On products of starlike functions. I
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 75-79.

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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.
DOI : 10.4064/ap-55-1-75-79

Georgi Dimkov 1

1
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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. http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-75-79/

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