Complex to real tetration via Kneser

[tommy1729]

im not sure what you are asking.

the kneser method has a riemann mapping making it real valued tetration for its real base larger than eta ( e^(1/e) )

so that is complex going to real.

IF instead you meant complex bases , well then do you want to use a kind of base change turning them into real bases ??

and why not directly using the real bases ?

Or do you want the complex bases to give a real valued tetration ? that would not make sense imo so I guess not.


I think the gaussian method works best for base change ;

f_b(s+1) = exp( ln(b) t(s) f_b(s) )

This seems analytic in the base b.

Using that f_b in the usual way to get the gaussian method , I think will preserve analytic in the base b.

I know , I know , promoting my own ideas again , but still I believe that.

I see no reason why not.


regards

tommy1729