On conformal mapping and iteration of rational functions
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Publication:3704149
DOI10.1080/17476938608814133zbMath0581.30021OpenAlexW2314738572MaRDI QIDQ3704149
Publication date: 1986
Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476938608814133
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) General theory of univalent and multivalent functions of one complex variable (30C55)
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On the Bieberbach conjecture and holomorphic dynamics ⋮ Multipliers of periodic orbits of quadratic polynomials and the parameter plane ⋮ Quadratic-like dynamics of cubic polynomials ⋮ Global stability of families of vector fields ⋮ Newton's method and complex dynamical systems ⋮ Upper bounds for the moduli of polynomial-like maps ⋮ An extended Fatou-Shishikura inequality and wandering branch continua for polynomials ⋮ Periodic points of polynomials ⋮ Complex asymptotics of Poincaré functions and properties of Julia sets ⋮ Disconnected Julia set and rotation sets ⋮ Correspondences in Complex Dynamics ⋮ Singularities of Schröder maps and unhyperbolicity of rational functions ⋮ Rigidity and non-local connectivity of Julia sets of some quadratic polynomials
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