Univalency of convolutions of univalent harmonic right half-plane mappings

Zhihong Liu, Saminathan Ponnusamy

We consider the convolution of half-plane harmonic mappings with respective dilatations $(z+a)/(1+az)$ and $e^{i\theta }{z}^n$, where $-1<a<1$ and $\theta \in \mathbb{R},n\in \mathbb{N}$. We pro…