Geometric subfamily of functions convex in some direction and Blaschke products

Liulan Li, Saminthan Ponnusamy

Consider the family of locally univalent analytic functions $h$ in the unit disk $|z|<1$ with the normalization $h(0)=0$, $h^{\prime }(0)=1$ and satisfying the condition $${\real} \left( \f…