Add to ORKGWe consider a sequence of entire functions (g(m)) converging to a limit function g locally uniformly on C. It is claimed by Kisaka that, if the Fatou set F(g) of the limit function is the union of the basins of attracting periodic orbits, then the Julia sets J(g(m)) converge to the Julia set J(g) in the Hausdorff metric. We show that this is not true in general.</p
Let fn → f0 be a convergent sequence of rational maps, preserv-ing critical relations, and f0 be geo...
Abstract. We prove that every transcendental meromorphic map f with a disconnected Julia set has a w...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
We consider a sequence of entire functions (g(m)) converging to a limit function g locally uniformly...
Consider a sequence fg d g converging uniformly on compact sets to g, where g and g d are meromorph...
Consider a sequence {g(d)}(d is an element of N) converging uniformly on compact sets to g, where g ...
In this paper we deal with analytic families of polynomials or entire transcendental functions with ...
Abstract. The Fatou-Julia iteration theory of rational functions has been extended to quasiregular m...
Hereditarily non uniformly perfect (HNUP) sets were introduced by Stankewitz, Sugawa, and Sumi in [1...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.A complex analytic map f alway...
We consider non-autonomous iteration which is a generalization of standard polynomial iteration wher...
Abstract. We show that if the growth of a transcendental entire function f is suffi-ciently regular,...
Der Ziel dieser Arbeit ist der Hausdorff Konvergenz der Juliamengen zu beweisen, als wir eine Famili...
The paper examines some properties of the dynamics of entire functions which extend to general merom...
ABSTRACT. According to Sullivan’s dictionary, the Julia sets for iterations of rational mappings and...
Let fn → f0 be a convergent sequence of rational maps, preserv-ing critical relations, and f0 be geo...
Abstract. We prove that every transcendental meromorphic map f with a disconnected Julia set has a w...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
We consider a sequence of entire functions (g(m)) converging to a limit function g locally uniformly...
Consider a sequence fg d g converging uniformly on compact sets to g, where g and g d are meromorph...
Consider a sequence {g(d)}(d is an element of N) converging uniformly on compact sets to g, where g ...
In this paper we deal with analytic families of polynomials or entire transcendental functions with ...
Abstract. The Fatou-Julia iteration theory of rational functions has been extended to quasiregular m...
Hereditarily non uniformly perfect (HNUP) sets were introduced by Stankewitz, Sugawa, and Sumi in [1...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.A complex analytic map f alway...
We consider non-autonomous iteration which is a generalization of standard polynomial iteration wher...
Abstract. We show that if the growth of a transcendental entire function f is suffi-ciently regular,...
Der Ziel dieser Arbeit ist der Hausdorff Konvergenz der Juliamengen zu beweisen, als wir eine Famili...
The paper examines some properties of the dynamics of entire functions which extend to general merom...
ABSTRACT. According to Sullivan’s dictionary, the Julia sets for iterations of rational mappings and...
Let fn → f0 be a convergent sequence of rational maps, preserv-ing critical relations, and f0 be geo...
Abstract. We prove that every transcendental meromorphic map f with a disconnected Julia set has a w...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...