2003International Journal of Bifurcation and ChaosRequires access

An Estimate for the Iterates of Cm-Functions with Fixed Point 0

Detlef Gronau

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Abstract

We provide an estimate for the iterates of analytic functions and of Cm functions with fixed point 0, see formula (3) and (4) below. We use a method of E. Jabotinsky which yields the explicit representation of the coefficients of the iterates of analytic functions.

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What this paper is about

We provide an estimate for the iterates of analytic functions and of Cm functions with fixed point 0, see formula (3) and (4) below. We use a method of E. Jabotinsky which yields the explicit representation of the coefficients of the iterates of analytic functions.

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Available abstract

We provide an estimate for the iterates of analytic functions and of Cm functions with fixed point 0, see formula (3) and (4) below. We use a method of E. Jabotinsky which yields the explicit representation of the coefficients of the iterates of analytic functions.

Key concepts: Iterated function, Fixed point, Mathematics, Analytic function, Representation (politics), Applied mathematics, Point (geometry), Function (biology)

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