Geometric properties of a domain with cusps

Shweta Gandhi, Prachi Gupta, Sumit Nagpal +1

For $n\ge 4$ (even), the function ${\phi }_{n\mathcal{L}}(z)=1+nz/(n+1)+z^n/(n+1)$ maps the unit disk $\mathbb{D}$ onto a domain bounded by an epicycloid with $n-1$ cusps. In this paper…