Holomorphic Motions and Normal Forms in Complex Analysis

Abstract

We give a brief review of holomorphic motions and its relation with quasiconformal mapping theory. Furthermore, we apply the holomorphic motions to give new proofs of famous Konig's Theorem and Bottcher's Theorem in classical complex analysis.

References in corpus (1)

• Dynamics in one complex variable: introductory lectures

Cited by in corpus (2)

• Holomorphic Motions, Fatou Linearization, and Quasiconformal Rigidity for Parabolic Germs
• Asymptotically Conformal Fixed Points and Holomorphic Motions