On the radius of univalence of convex combinations of analytic functions

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.

Bibliographic Details
Main Authors: Khalida I. Noor, Fatima M. Aloboudi, Naeela Aldihan
Format: Article
Language:English
Published: Hindawi Limited 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171283000290