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Original Articles

Three-cornered hat harmonic functions

Pages 1079-1084 | Received 08 Feb 2008, Accepted 27 May 2009, Published online: 17 Nov 2009
 

Abstract

Let be a harmonic function in the unit disc, where f and g are holomorphic functions and g′(z) = zf′(z). We obtain a simple sufficient condition on f for the harmonic function h to be univalent and its image to be a three-cornered hat domain.

AMS Subject Classification::

Acknowledgement

This work was partially supported by Romanian Ministry of Education and Research CNCSIS Grant type A, 1472/2007.

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