Tagged Questions
1
vote
0answers
47 views
About growth rate of the iterated exponential on the complex plane.
Let $n$ be a positive integer. Let $f(n,x) = exp(f(n-1,x))$ and $f(0,x)=x$.
Let $Q(f(n,x)) =1$ if $Re(f(n,x))<2$. Let $S(n,x) = \Sigma_{1}^{n} Q(f(n,x))$.
How to estimate $S(n,2+i)$ efficiently ?
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14
votes
2answers
381 views
What is $i$ exponentiated to itself $i$ times?
I was just wondering about this. I searched about it on the net and found that it is called tetration and after this comes pentation and then hexation and so on so forth.
I don't really understand ...
21
votes
1answer
275 views
Iterated exponent of $i$
WolframAlpha seems to tell me that $e^{e^{e^{e^{e^{e^{e^{e^{e^{e^{e^i}}}}}}}}}} = 1$, see link. Is this just an error or is it for real? Adding one more $e$ to the bottom of the tower gives me the ...
