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http://hdl.handle.net/2445/164098
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DC Field | Value | Language |
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dc.contributor.author | Evdoridou, Vasiliki | - |
dc.contributor.author | Fagella Rabionet, Núria | - |
dc.contributor.author | Jarque i Ribera, Xavier | - |
dc.contributor.author | Sixsmith, David J. | - |
dc.date.accessioned | 2020-06-03T07:51:44Z | - |
dc.date.available | 2021-09-01T05:10:16Z | - |
dc.date.issued | 2019-09-01 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | http://hdl.handle.net/2445/164098 | - |
dc.description.abstract | Let $f$ 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.extent | 15 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1016/j.jmaa.2019.04.045 | - |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 2019, vol. 477, num. 1, p. 536-550 | - |
dc.relation.uri | https://doi.org/10.1016/j.jmaa.2019.04.045 | - |
dc.rights | cc-by-nc-nd (c) Elsevier, 2019 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions de variables complexes | - |
dc.subject.classification | Funcions meromorfes | - |
dc.subject.classification | Sistemes dinàmics complexos | - |
dc.subject.other | Functions of complex variables | - |
dc.subject.other | Meromorphic functions | - |
dc.subject.other | Complex dynamical systems | - |
dc.title | Singularities of inner functions associated with hyperbolic maps | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 683531 | - |
dc.date.updated | 2020-06-03T07:51:44Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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683531.pdf | 411.29 kB | Adobe PDF | View/Open |
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