File:Expc.jpg

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 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.

More detailed version of this figure, together with generators, is available, click the figure at right/