Geodesic
Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions
Serdica Mathematical Journal, Tome 24 (1998) no. 3-4, pp. 339-344.

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We consider functions of the type, j=1 ... n, F(z) = z^p ∏ [ fj (z)/(z^p) ] ^αj where fj are p-valent functions starlike of order αj and aj are complex numbers. The problem we solve is to find conditions for the centre and the radius of the disc {z : |z − ω| r}, contained in the unit disc {z : |z| 1} and containing the origin, so that its transformation by the function F be a domain starlike with respect to the origin.
Keywords: Univalent, P−Valent, Starlike of Order α 
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     title = {Generalized {Problem} of {Sratlikeness} for {Products} of {P-Valent} {Starlike} {Functions}},
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Dimkov, Georgi; Dziok, Jacek. Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions. Serdica Mathematical Journal, Tome 24 (1998) no. 3-4, pp. 339-344. http://geodesic.mathdoc.fr/item/SMJ2_1998_24_3-4_a7/