Displaying similar documents to “Radii of starlikeness and coefficient estimates of a class of analytic functions”

Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions

Dimkov, Georgi, Dziok, Jacek (1998)

Serdica Mathematical Journal

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∗ Partially supported by grant No. 433/94 NSF of the Ministry of Education and Science of the Republic of Bulgaria 1991 Mathematics Subject Classification:30C45 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...