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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Critical points, critical values of a prime polynomial
TL;DR: In this paper, the authors studied the possibility of expressing a polynomial f as the composition of two non-constant and non-linear polynomials, and they gave sufficient conditions for f to be prime in terms of its critical values and critical points.
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On real fixed points of one parameter family of Function x/${(b^{x}-1)}$
TL;DR: In this paper, the real fixed points of one parameter family were investigated and the nature of these fixed points were shown for all parameter families except for $b>0$ except $b=1$.
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The iterated minimum modulus and conjectures of Baker and Eremenko
TL;DR: In this paper, the authors studied points whose iterates escape to infinity at least as fast as iterates of the minimum modulus and obtained new results related to Eremenko's conjecture and Baker's conjecture, and the rate of escape in Baker domains.
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Julia sets of permutable Holomorphic maps
TL;DR: In this paper, it was shown that if either f has no wandering domains or f is of bounded type, then the Julia sets of f and f(g) coincide, and the dynamical properties of f, g and f o g were discussed.
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Boundedness of Fatou Components of Holomorphic Maps
Chunlei Cao,Yuefei Wang +1 more
TL;DR: In this paper, the topological properties of the Fatou set for non-constant holomorphic maps are discussed. But the authors focus on the case where the lower order of the map h is greater than 0 for some h ∈{1,2,...,N}.