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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On the Julia sets of two permutable entire functions
Liang-Wen Liao,Chung-Chun Yang +1 more
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The depths of the centres and the attracting centres of a class of dendrite maps
TL;DR: In this article, it was shown that Ω 4 (f ) = R ( f ) and the depth of f is at most 4, and ω 4 ( f) = ω 3 (f) for any n ∈ N.
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Bloch's principle
TL;DR: A heuristic principle attributed to A. Bloch as mentioned in this paper states that a family of holomorphic functions is likely to be normal if there is no nonconstant entire functions with this property.
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On the dynamics of some Newton's type iterative functions
TL;DR: The dynamics of a family of Newton's type iterative methods for second- and third-degree complex polynomials is studied and the conjugacy classes of these methods are presented.
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Bounds on the radius of the p-adic Mandelbrot set
TL;DR: In this paper, it was shown that the p-adic Mandelbrot set can be quite complicated when p is less than d, in contrast with the simple and well-understood p > d case.