ListarMAT_Articles por tema "Blaschke products"
Mostrando ítems 1-3 de 3
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On a family of rational perturbations of the doubling map
Taylor and Francis (2015-06-17)The goal of this paper is to investigate the parameter plane of a rational family of perturbations of the doubling map given by the Blaschke products Ba(z) = z 3 z−a 1−az¯ . First we study the basic properties of these ... -
Rational maps with Fatou components of arbitrarily large connectivity
Elsevier (2018-02-02)We study the family of singular perturbations of Blaschke products . We analyse how the connectivity of the Fatou components varies as we move continuously the parameter λ. We prove that all possible escaping configurations ... -
Singular perturbations of Blaschke products and connectivity of Fatou components
American Institute of Mathematical Sciences (AIMS) (2017)The goal of this paper is to study the family of singular perturbations of Blaschke products given by Ba,λ(z)=z3z−a1−a¯z+λz2. We focus on the study of these rational maps for parameters a in the punctured disk D∗ and |λ| ...