Stable classes of harmonic mappings

Gang Liu, Saminathan Ponnusamy, Victor V. Starkov

Let ${\mathcal{H}}_0$ denote the set of all sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\ID$, normalized with $h(0)=g(0)=g^{\prime }(0)=0$ and $h^{\prime }(0)=1$. In this p…