Benini, Anna MiriamFagella Rabionet, Núria2020-06-032020-06-032018-09-010305-0041https://hdl.handle.net/2445/164100Let $f$ be an entire transcendental function of finite order and $\Delta$ be a forward invariant bounded Siegel disk for $f$ with rotation number in Herman's class . We show that if $f$ has two singular values with bounded orbit, then the boundary of $\Delta$ contains a critical point. We also give a criterion under which the critical point in question is recurrent. We actually prove a more general theorem with less restrictive hypotheses, from which these results follow.17 p.application/pdfeng(c) Cambridge University Press, 2018Funcions meromorfesSistemes dinàmics complexosMeromorphic functionsComplex dynamical systemsinfo:eu-repo/semantics/article6728062020-06-03info:eu-repo/semantics/openAccess