Totally disconnected Julia set for different classes of meromorphic functions
Authors:
P. Domínguez, A. Hernández and G. Sienra
Journal:
Conform. Geom. Dyn. 18 (2014), 1-7
MSC (2010):
Primary 37F10; Secondary 30D05
DOI:
https://doi.org/10.1090/S1088-4173-2014-00258-6
Published electronically:
January 24, 2014
MathSciNet review:
3157720
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We study a class of functions given by Epstein in Towers of finite type complex analytic maps, ProQuest LLC, Ann Arbor, MI, 1993, called finite-type maps. We extend a result related with the Julia set given by Baker, Domínguez in Some connectedness properties of Julia sets, Complex Variable Theory Appl. 41 (2000), 371-389, and Baker, Domínguez, and Herring in Dynamics of functions meromorphic outside a small set, Ergodic Theory Dynam. Systems 21 (2001), 647-672, to functions in class
.
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Additional Information
P. Domínguez
Affiliation:
F.C. Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla; Av. San Claudio, Col. San Manuel, C.U., Puebla Pue., 72570, México
Email:
pdsoto@fcfm.buap.mx
A. Hernández
Affiliation:
F.C. Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla; Av. San Claudio, Col. San Manuel, C.U., Puebla Pue., 72570, México
Email:
hralberto@hotmail.com
G. Sienra
Affiliation:
Facultad de Ciencias, UNAM. Av. Universidad 3000, C.U. México, D.F., 04510, México.
Email:
gsl@dimnamica1.fciencias.unam.mx
DOI:
https://doi.org/10.1090/S1088-4173-2014-00258-6
Received by editor(s):
September 24, 2012
Published electronically:
January 24, 2014
Additional Notes:
The authors were supported by CONACYT projects numbers 128005 and 153850
Dedicated:
In Memory of I. N. Baker
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.