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Results tagged with tetration
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user 80790
0
votes
0
answers
152
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Do we have tetration uniqueness by $ A = \inf \sum_n a_n^2 $?
Let $f$ be a real analytic (on at least $|x|<2$) and real solution of the functional equation $f(0) = 1,f(x+1) = \exp(f(x))$. For the existence of such $f$, see here.
Then
$$
f(x) = \sum_n a_n x^n ;
$ …
- 769
8
votes
1
answer
491
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$f(f(z)) = z , f(\exp(z)) = \exp(f(z)) $?
While talking about tetration with my friend the following idea (re)occured. … This method does seem to prefer the carleman interpretation of tetration ofcourse, which is not my bias but a consequence of the idea of using eigenvalues and matrices by lack of other " simple " ideas …
- 769