On the radius of univalence of convex combinations of analytic functions

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

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-6

Abstract:

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

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:618296

DOI: 10.1155/S0161171283000290

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