On infinite area for complex exponential function

DOI10.1016/J.CHAOS.2004.04.031zbMath1063.30026OpenAlexW2049886235MaRDI QIDQ1766579

Figen Çilingir

Publication date: 8 March 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.04.031

zbMATH Keywords

relaxed Newton's method

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (5)

On Newton's method applied to real polynomials ⋮ Newton maps of complex exponential functions and parabolic surgery ⋮ Julia sets of Newton's method for a class of complex-exponential function \(F(z)=P(z)e^{Q(z)}\) ⋮ Immediate and virtual basins of Newton's method for entire functions. ⋮ Disconnected Julia set of Halley's method for exponential maps

Cites Work

• On the iteration of a rational function: Computer experiments with Newton's method
• Newton's method and complex dynamical systems
• Invariant sets under iteration of rational functions
• Multiple attractors in Newton's method
• Newton’s Algorithm and Chaotic Dynamical Systems
• FINITENESS OF THE AREA OF BASINS OF ATTRACTION OF RELAXED NEWTON METHOD FOR CERTAIN HOLOMORPHIC FUNCTIONS
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