File:Expc.jpg
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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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