Some investigations on the dynamics of the family λz exp(z)

DOI10.1080/17476930108815388zbMath1027.30054OpenAlexW2043105033MaRDI QIDQ3152025

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Publication date: 22 October 2002

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930108815388

zbMATH Keywords

Julia setHausdorff dimensionFatou setquasi-conformal mapcritical orbitcomplete invariant

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Entire functions of one complex variable (general theory) (30D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Quasiconformal mappings in the complex plane (30C62)

Related Items (3)

Dynamical convergence of a certain polynomial family to f_a(z) = z + e^z + a ⋮ Rational families converging to a family of exponential maps ⋮ On the formulas of meromorphic functions with periodic Herman rings

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