12/24/2019, 12:10 AM
(12/23/2019, 03:56 PM)bo198214 Wrote: As far as I know nobody managed to use any other fixpoint-pair than the primary one.
To use all the fixpoints seems to be a much stronger demand.
Daniel, Jay,
Please see this thread https://math.eretrandre.org/tetrationfor...hp?tid=452
About a year and half later, post#18, I generated a tetration solution from the secondary fixed point with the caveat that the derivative at the real axis goes to zero; see post#18; #19 in the thread I just linked to.
That solution has f' and f'' and tet(-1)=0; one can imagine that perhaps with the next fixed point pair, perhaps tet',tet'',tet''',tet'''' would all need to be zero .... I haven't revisited this post since 2011.
- Sheldon