Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/164098
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dc.contributor.authorEvdoridou, Vasiliki-
dc.contributor.authorFagella Rabionet, Núria-
dc.contributor.authorJarque i Ribera, Xavier-
dc.contributor.authorSixsmith, David J.-
dc.date.accessioned2020-06-03T07:51:44Z-
dc.date.available2021-09-01T05:10:16Z-
dc.date.issued2019-09-01-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/2445/164098-
dc.description.abstractLet $f$ be a function in the Eremenko-Lyubich class $\mathscr{B}$, and let $U$ be an unbounded, forward invariant Fatou component of $f$. We relate the number of singularities of an inner function associated to $\left.f\right|_{U}$ with the number of tracts of $f$. In particular, we show that if $f$ lies in either of two large classes of functions in $\mathscr{B}$, and also has finitely many tracts, then the number of singularities of an associated inner function is at most equal to the number of tracts of $f$. Our results imply that for hyperbolic functions of finite order there is an upper bound -related to the order- on the number of singularities of an associated inner function.-
dc.format.extent15 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherElsevier-
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1016/j.jmaa.2019.04.045-
dc.relation.ispartofJournal of Mathematical Analysis and Applications, 2019, vol. 477, num. 1, p. 536-550-
dc.relation.urihttps://doi.org/10.1016/j.jmaa.2019.04.045-
dc.rightscc-by-nc-nd (c) Elsevier, 2019-
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es-
dc.subject.classificationFuncions de variables complexes-
dc.subject.classificationFuncions meromorfes-
dc.subject.classificationSistemes dinàmics complexos-
dc.subject.otherFunctions of complex variables-
dc.subject.otherMeromorphic functions-
dc.subject.otherComplex dynamical systems-
dc.titleSingularities of inner functions associated with hyperbolic maps-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/acceptedVersion-
dc.identifier.idgrec683531-
dc.date.updated2020-06-03T07:51:44Z-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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