Difference between revisions of "Regular iteration"

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A fractional iterate $\ph$ of a function $f$ at fixpoint $a$ is called regular, iff $\phi$ is analytic at $a$ or has an [[asymptotic powerseries development]] at $a$.
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A [[fractional iterate]] $\ph$ of an analytic function $f$ at fixpoint $a$ is called regular, iff $\phi$ is analytic at $a$ or has an [[asymptotic powerseries development]] at $a$.

Revision as of 13:11, 7 June 2011

A fractional iterate $\ph$ of an analytic function $f$ at fixpoint $a$ is called regular, iff $\phi$ is analytic at $a$ or has an asymptotic powerseries development at $a$.