File:IterEq2plotT.jpg
Revision as of 21:53, 27 September 2013 by T (talk | contribs) (Explicit plot of $n$th iteration of exponential to base sqrt(2) for various values of the number $c$ of iterations. For evaluation of the non-integer iteration, the plotter uses the implementation through the superfunction $F$ of t...)
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Explicit plot of $n$th iteration of exponential to base sqrt(2) for various values of the number $c$ of iterations.
For evaluation of the non-integer iteration, the plotter uses the implementation through the superfunction $F$ of the exponential to base $\sqrt{2}$, constructed at the fixed point $L\!=\!4$, and the corresponding Abel function $G$:
$ \exp_b^{n}(x)=F\big(n+G(x)\big)$
Note: In publication [1], these F and G are referred as $F_{4,5}$ and $F_{4,5}^{~-1}$, respectively.
References
- ↑ http://mizugadro.mydns.jp/PAPERS/2010sqrt2.pdf D.Kouznetsov, H.Trappmnn. Portrait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, v.271, July 2010, p.1727-1756.
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