The spherical metric and univalent harmonic mappings

Yusuf Abu Muhanna, Rosihan M. Ali, Saminathan Ponnusamy

Let $f=h+\overline{g}$ be a harmonic univalent map in the unit disk $\mathbb{D}$, where $h$ and $g$ are analytic. We obtain an improved estimate for the second coefficient of $h$.…