For any entire or rational function / in t}te complex plane define the sequence of iterates (f"), n(N, by fo(r):2, f":fo-Lof, n>1. The Fatou-Julia set F(/) is the complement of the maximal open set C (f) in which ("f") is a normal family. The Fatou-Julia theory of iteration ll4, 15, 171 attempts to analyze the way in whic
Abstract—In the study of Complex Dynamical Systems, the evolution of the system is realized by the i...
Let f (z) be a rational function of a complex variable z with d"S(/) 2 2 and lo(r) : r, f &apos...
In this paper we deal with analytic families of polynomials or entire transcendental functions with ...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.A complex analytic map f alway...
For a sequence (cn) of complex numbers we consider the quadratic polynomials fcn(z): = z 2 + cn and ...
ABSTRACT. According to Sullivan’s dictionary, the Julia sets for iterations of rational mappings and...
Programa de Doctorat en Matemàtica i Informàtica[eng] Rational iteration is the study of the asympto...
Let f(z) denote a transcendental entire function, F(f) and J(f) are the Fatou set and Julia set of f...
For a given sequence (c n ) of complex numbers we set F n := f n : : : f 1 , where f k (z) := z ...
Abstract. The Fatou-Julia iteration theory of rational functions has been extended to quasiregular m...
l.Introrluction. Throughout the papet f, g will denote rational functions in the complex plane. To a...
We give a brief survey of results on the escaping sets of entire functions, and mention some of the ...
Abstract: We develop the elementary theory of iterated rational functions over the Riemann sphere C ...
Let f be a rational function, which has k n-cycles under iteration. By using the symmetry of the und...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
Abstract—In the study of Complex Dynamical Systems, the evolution of the system is realized by the i...
Let f (z) be a rational function of a complex variable z with d"S(/) 2 2 and lo(r) : r, f &apos...
In this paper we deal with analytic families of polynomials or entire transcendental functions with ...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.A complex analytic map f alway...
For a sequence (cn) of complex numbers we consider the quadratic polynomials fcn(z): = z 2 + cn and ...
ABSTRACT. According to Sullivan’s dictionary, the Julia sets for iterations of rational mappings and...
Programa de Doctorat en Matemàtica i Informàtica[eng] Rational iteration is the study of the asympto...
Let f(z) denote a transcendental entire function, F(f) and J(f) are the Fatou set and Julia set of f...
For a given sequence (c n ) of complex numbers we set F n := f n : : : f 1 , where f k (z) := z ...
Abstract. The Fatou-Julia iteration theory of rational functions has been extended to quasiregular m...
l.Introrluction. Throughout the papet f, g will denote rational functions in the complex plane. To a...
We give a brief survey of results on the escaping sets of entire functions, and mention some of the ...
Abstract: We develop the elementary theory of iterated rational functions over the Riemann sphere C ...
Let f be a rational function, which has k n-cycles under iteration. By using the symmetry of the und...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
Abstract—In the study of Complex Dynamical Systems, the evolution of the system is realized by the i...
Let f (z) be a rational function of a complex variable z with d"S(/) 2 2 and lo(r) : r, f &apos...
In this paper we deal with analytic families of polynomials or entire transcendental functions with ...