Siegel, Carl Ludwig 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 Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 171 Documents MSC: 37F50 Small divisors, rotation domains and linearization in holomorphic dynamics Keywords:complex functions PDF BibTeX XML Cite \textit{C. L. Siegel}, Ann. Math. (2) 43, 607--612 (1942; Zbl 0061.14904) Full Text: DOI