Difference between revisions of "File:Expc.jpg"

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The [[exponential]] iterated <math>c </math> times:
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<math>y=\exp^c(x)</math> versus <math>x</math> for some real values of <math>c</math>
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<br>
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The representation through the [[tetrational]] is used:<br>
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<math>\exp^c(z)=\mathrm{tet}\Big(c+\mathrm{tet}^{-1}(z)\Big)</math>
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This picture was stored at CZ
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The quick implementation from the [[Vladikavkaz Mathematical Journal]]
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<ref name="vladi">
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http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf
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D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
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</ref> is used for the evaluation.
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http://en.citizendium.org/wiki/File:Expc.jpg
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and then also at wikipedia.
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Copyleft 2008 by Dmitrii Kouznetsov. Use for free, attribute the source.
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==References==
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<references/>
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[[Category:Mathematical functions]]
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[[Category:Tetration]]
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[[Category:Superfunctions]]
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[[Category:Iteration]]

Revision as of 09:38, 21 June 2013

The exponential iterated \(c \) times\[y=\exp^c(x)\] versus \(x\) for some real values of \(c\)
The representation through the tetrational is used:
\(\exp^c(z)=\mathrm{tet}\Big(c+\mathrm{tet}^{-1}(z)\Big)\)

This picture was stored at CZ

The quick implementation from the Vladikavkaz Mathematical Journal [1] is used for the evaluation.


http://en.citizendium.org/wiki/File:Expc.jpg and then also at wikipedia.

Copyleft 2008 by Dmitrii Kouznetsov. Use for free, attribute the source.

References

  1. http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.

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