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.
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1983-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171283000290 |