“…Recently, Böttcher et al
15 proposed a novel numerical algorithm to approximate
with high accuracy and moderate computational cost. Nevertheless, in this article, we will rely on the algorithm proposed by Ekström and Vassalos,
16 because it produces an expression for
instead of its range. With this connection we introduce the class
as the collection of all generating functions
satisfying one of the following conditions,
- belongs to the Tilli class and the essential range is connected,
- the limiting set has one nonclosed analytic arc only.
…”