Extreme points method and univalent harmonic mappings

Y. Abu Muhanna, S. Ponnusamy

We consider the class of all sense-preserving complex-valued harmonic mappings $f=h+\bar{g}$ defined on the unit disk $\ID$ with the normalization $h(0)=h^{\prime }(0)-1=0$ and $g(0)=g'(0)…