Gronau, Detlef An estimate for the iterates of \(C^ m\)-functions with fixed point \(0\). (English) Zbl 1063.39017 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 7, 2011-2012 (2003). Summary: We provide an estimate for the iterates of analytic functions and of \(C^m\) functions with fixed point 0. We use a method of E. Jabotinsky [Trans. Am. Math. Soc. 108, 457–477 (1963; Zbl 0113.28303)] which yields the explicit representation of the coefficients of the iterates of analytic functions. MSC: 39B12 Iteration theory, iterative and composite equations 30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable Keywords:iterated functions; estimates; analytic functions; fixed point Citations:Zbl 0113.28303 PDFBibTeX XMLCite \textit{D. Gronau}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 7, 2011--2012 (2003; Zbl 1063.39017) Full Text: DOI References: [1] DOI: 10.1090/S0002-9947-1963-0155971-X This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.