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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 2, Pages 335-340
doi:10.1155/S0161171283000290

On the radius of univalence of convex combinations of analytic functions

Khalida I. Noor , Fatima M. Aloboudi and Naeela Aldihan

Mathematics Department, Science College of Education for Girls, Malaz, Sitteen Road, Riyadh, Saudi Arabia

Abstract

We consider for α>0, the convex combinations f(z)=(1−α)F(z)+αzF′(z), where F belongs to different subclasses of univalent functions and find the radius for which f is in the same class.