Rafael B. Andrist, Gerrit W. Maus
Abstract
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The basin of attraction of a uniformly attracting sequence of holomorphic automorphisms that agree to a certain order in the common fixed point, is biholomorphic to $\mathbb{C}^n$. We also give sufficient estimates how large this order has to be.
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The basin of attraction of a uniformly attracting sequence of holomorphic automorphisms that agree to a certain order in the common fixed point, is biholomorphic to $\mathbb{C}^n$. We also give sufficient estimates how large this order has to be.
Key concepts: Holomorphic function, Automorphism, Order (exchange), Sequence (biology), Mathematics, Pure mathematics, Point (geometry), Fixed point