Extreme points method and univalent harmonic mappings
Muhanna, Y. Abu · Ponnusamy, S.
Original · EN
We consider the class of all sense-preserving complex-valued harmonic mappings f=h+ g defined on the unit disk with the normalization h(0)=h'(0)-1=0 and g(0)=g'(0)=0 with the second complex dilatation ω:→, g'(z)=ω(z)h'(z). In this paper, the authors determine sufficient conditions on h and ω that would imply the univalence of harmonic mappings f=h+ g on.
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