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(Iterates of function $T(z)=-1/z$ $y=T^n(x)$ is plotted versus $x$ for various real values of number $n$ of iteration. The non-integer iterates of function $T$ are evaluated using the superfunction $\displaystyle F(z)=\tan\left(\frac{2}{\pi} z\r...)
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Revision as of 18:37, 26 August 2013

Iterates of function $T(z)=-1/z$

$y=T^n(x)$ is plotted versus $x$ for various real values of number $n$ of iteration.

The non-integer iterates of function $T$ are evaluated using the superfunction

$\displaystyle F(z)=\tan\left(\frac{2}{\pi} z\right)$

and the Abel function

$\displaystyle G(z)=F^{-1}(z)=\frac{2}{\pi} \arctan\left( z\right)$

C++ generator oc curves

Latex generator of labels

Ctegory:Linear fraction

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current18:37, 26 August 2013Thumbnail for version as of 18:37, 26 August 20132,089 × 2,089 (734 KB)T (talk | contribs)Iterates of function $T(z)=-1/z$ $y=T^n(x)$ is plotted versus $x$ for various real values of number $n$ of iteration. The non-integer iterates of function $T$ are evaluated using the superfunction $\displaystyle F(z)=\tan\left(\frac{2}{\pi} z\r...
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