Dynamic rays of bounded-type transcendental self-maps of the punctured plane

Núria Fagella, David Martí-Pete

We study the escaping set of functions in the class ${\mathcal{B}}^{\ast }$, that is, holomorphic functions $f:{\mathbb{C}}^{\ast }\to {\mathbb{C}}^{\ast }$ for which both zero and infinity are essential sing…