On conformal mapping and iteration of rational functions

DOI10.1080/17476938608814133zbMath0581.30021OpenAlexW2314738572MaRDI QIDQ3704149

Christian Pommerenke

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

zbMATH Keywords

conformal mappingangular derivativerepulsive fixed point

Mathematics Subject Classification ID

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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