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Simultaneous Linearization of Holomorphic Maps with Hyperbolic and Parabolic Fixed Points
2008
Publications of the Research Institute for Mathematical Sciences
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We study local holomorphic mappings of one complex variable with parabolic fixed points as a limit of a families of mappings with attracting fixed points. We show that the Fatou coordinate for a parabolic fixed point can be obtained as a limit of some linear function of the solutions to Schröder equation for perturbed mappings with attracting fixed points.
doi:10.2977/prims/1207921077
fatcat:d3uppzyxhbbizbd2gmiheqqzte