Approximation of Baker domains and convergence of Julia sets.

Garfias-Macedo, Tania

doi:10.53846/goediss-3840

DOI: 10.53846/goediss-3840

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Approximation of Baker domains and convergence of Julia sets.

Tania Garfias-Macedo¹

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Dynamical convergence of a certain polynomial family to f_a(z) = z + e^z + a

Morosawa¹

2015

Ann. Acad. Sci. Fenn. Math.

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Abstract. A transcendental entire function f a (z) = z + e z + a may have a Baker domain or a wandering domain, which never appear in the dynamics of polynomials. We consider a sequence of polynomials+ a, which converges uniformly on compact sets to f a as d → ∞. We show its dynamical convergence under a certain assumption, even though f a has a Baker domain or a wandering domain. We also investigate the parameter spaces of f a and P a,d .

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Dynamical convergence of a certain polynomial family to f_a(z) = z + e^z + a

Morosawa¹

2015

Ann. Acad. Sci. Fenn. Math.

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show abstract

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Approximation of Baker domains and convergence of Julia sets.

Cited by 1 publication

References 39 publications

Dynamical convergence of a certain polynomial family to f_a(z) = z + e^z + a

Dynamical convergence of a certain polynomial family to f_a(z) = z + e^z + a

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