Rational families converging to a family of exponential maps

DOI10.4171/JFG/70zbMath1475.37050OpenAlexW2912648804WikidataQ115481585 ScholiaQ115481585MaRDI QIDQ1731793

Lorelei Koss, Joanna Furno, Jane M. Hawkins

Publication date: 14 March 2019

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jfg/70

zbMATH Keywords

Julia setsentire functionscomplex dynamicsrational maps

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Related Items (3)

Cantor and connected Julia sets of the parameterized Dixon elliptic functions ⋮ Dynamical convergence of polynomials to products of power maps and the exponential ⋮ Relating singularly perturbed rational maps to families of entire maps

Cites Work

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• On the iteration of holomorphic self-maps of ℂ*
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