Escaping Fatou components of transcendental self-maps of the punctured plane

David Martí-Pete

We study the iteration of transcendental self-maps of ${\mathbb{C}}^{\ast }:=\mathbb{C}\setminus \{0\}$, that is, holomorphic functions $f:{\mathbb{C}}^{\ast }\to {\mathbb{C}}^{\ast }$ for which both zero…