A continuous transition from $\mathcal{E}$-sets to $R$-sets and beyond

Jie Ding, Janne Heittokangas, Zhi-Tao Wen

The well-known $\mathcal{E}$-sets introduced by Hayman in 1960 are collections of Euclidean discs in the complex plane with the following property: The set of angles $\theta$ for which…