BookDOI
Iteration of Rational Functions
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This article is published in American Mathematical Monthly.The article was published on 1991-01-01. It has received 972 citations till now. The article focuses on the topics: Elliptic rational functions & Rational function.read more
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DissertationDOI
On the Stability of Julia Sets of Functions having Baker Domains
TL;DR: In this paper , the authors studied the behavior of Julia sets under perturbation of the underlying functions and gave a class of limit functions whose associated Fatou sets contain Baker domains.
Journal ArticleDOI
Formal and Locally Analytic Solutions of an Inhomogeneous Linear Functional Equation
TL;DR: In this article, locally analytic solutions of the functional equation were studied for a given function, where the order of the function is greater than one, and the convergence of the solutions were discussed.
Journal ArticleDOI
Escaping points of commuting meromorphic functions with finitely many poles
TL;DR: In this article, it was shown that transcendental meromorphic functions with finitely many poles have orbits that alternate between approaching a pole and escaping to infinity at strikingly fast rates, and that the Julia sets of commuting meromorphisms have the same Julia set whenever $f$ and $g$ have no simply connected fast-escaping wandering domains.
Posted Content
Some result on escaping set of an entire function
TL;DR: In this article, the authors provided families of transcendental entire functions for which Eremenko's conjecture holds and investigated the dynamical properties of the mapping $f(z)=z+1+e^{-z}.
Posted Content
On the Dynamics of Rational Maps with Two Free Critical Points
HyeGyong Jang,Norbert Steinmetz +1 more
TL;DR: In this article, the dynamical structure of the rational family of rational families was discussed and it was shown that each map has two super-attracting immediate basins and two free critical points.