10/14/2022, 06:47 PM
(10/13/2022, 05:11 AM)Daniel Wrote: Running my tetration code I was reminded that my results for \[^x a \textrm{, where } 1<a<1.444\] have their range on the real line. Do other extensions of tetration work in a similar fashion?
As far as I remember the Paulsen continuation has a super small imaginary part on the real axis for those bases. But for those bases there are not much different from regular tetrations out there. The interesting bases are surely \[b>e^{1/e}\] and there is much more variety with different methods.