dc.contributor.author
Fagella Rabionet, Núria
dc.contributor.author
Jarque i Ribera, Xavier
dc.contributor.author
Taixés i Ventosa, Jordi
dc.date.issued
2020-06-04T07:25:34Z
dc.date.issued
2020-06-04T07:25:34Z
dc.date.issued
2008-04-15
dc.date.issued
2020-06-04T07:25:34Z
dc.identifier
https://hdl.handle.net/2445/164190
dc.description.abstract
It is known that the Julia set of the Newton's method of a non- constant polynomial is connected ([18]). This is, in fact, a consequence of a much more general result that establishes the relationship between simple connectivity of Fatou components of rational maps and fixed points which are repelling or parabolic with multiplier 1. In this paper we study Fatou components of transcendental mero- morphic functions, namely, we show the existence of such fixed points provided that immediate attractive basins or preperiodic components be multiply connected.
dc.format
application/pdf
dc.publisher
Oxford University Press
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1112/plms/pdn012
dc.relation
Proceedings of the London Mathematical Society, 2008, vol. 97, num. 3, p. 599-622
dc.relation
https://doi.org/10.1112/plms/pdn012
dc.rights
(c) London Mathematical Society, 2008
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Sistemes dinàmics complexos
dc.subject
Funcions de variables complexes
dc.subject
Funcions meromorfes
dc.subject
Complex dynamical systems
dc.subject
Functions of complex variables
dc.subject
Meromorphic functions
dc.title
On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points I
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
