On the convolution of convex 2-gons

Martin Chuaqui, Rodrigo Hernández, Adrián Llinares +1

We study the convolution of functions of the form \[ f_α(z) := \dfrac{\left( \frac{1 + z}{1 - z} \right)^α- 1}{2 α}, \] which map the open unit disk of the complex plane onto polyg…