The connectedness locus of the family of polynomialsPc(z) = zn–cz

DOI10.1080/17476933.2011.555540zbMath1333.37051OpenAlexW2022117546MaRDI QIDQ4908695

Carlos L. Arteaga, Alexandre Miranda Alves

Publication date: 6 March 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.555540

zbMATH Keywords

hyperbolic componentsconnectedness locuscentred polynomials

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15)

Related Items (1)

Dynamical convergence of polynomials to products of power maps and the exponential

Cites Work

• The iteration of cubic polynomials. II: Patterns and parapatterns
• Hyperbolic components of polynomials with a fixed critical point of maximal order
• Local connectedness of the Julia set of the family $z^m(z^n-b)$

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