Document Zbl 0061.14904

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Iteration of analytic functions. (English) Zbl 0061.14904

Ann. Math. (2) 43, 607-612 (1942).

La solution formelle de l’equation de Schröder \(\varphi(a_1x)=f(\varphi(x))\) converge si \(\log |a_1^n-1|=O(\log n)\) pour \(n\to\infty\) où \(f(z)=a_1z+\dots\).

Reviewer: M. Hukuhara

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Cited in 6 Reviews

Cited in 197 Documents

MSC:

37F50

Small divisors, rotation domains and linearization in holomorphic dynamics

Keywords:

complex functions

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