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 o with attracting ﬁxed points.
Cite this article
Tetsuo Ueda, Simultaneous Linearization of Holomorphic Maps with Hyperbolic and Parabolic Fixed Points. Publ. Res. Inst. Math. Sci. 44 (2008), no. 1, pp. 91–105DOI 10.2977/PRIMS/1207921077