Real and complex tetration

[tommy1729]

I also mentioned this fibonacci type idea earlier.

see : 

https://math.eretrandre.org/tetrationfor...=fibonacci

In particular reducing the recursion to an iteration to fit dynamics better :


ratfibo(x+1) = 1 + 1/ratfibo(x) 

with ratfibo the ratio of consecutive fibo numbers.


Thus reducing to iterations where there are 2 fixpoints.


Also mike 3 made a nice contribution here 

https://math.eretrandre.org/tetrationfor...=fibonacci

I think there are still things to talk about.

is going from iterations to recursions the next step ??

Is there a kneser like fibonacci ?

Many questions

regards

tommy1729