# Difference between revisions of "File:Expc.jpg"

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+ | The [[exponential]] iterated <math>c </math> times: |
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− | Importing image file |
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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

- ↑ 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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