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 $a$.
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 $a$.