Further observations on fractional calc solution to tetration

[tommy1729]

It seems you are once again trying to use Ramanujan's master theorem.

As for the remark 3) :

Let N,M,i,j be integers.

we have slog(z+ 2 pi j i) = slog(z).

if tet (a_i) = b_i and tet ' (a_i) = 0

then slog(z) is not analytic at b_i.

it follows slog(z) is also not analytic at b_i + N 2pi i.

also tet ' (a_i + M) = 0

tet(a_i + M) = exp^[M](b_i) which is chaotic most of the time !!

SO your halfplane cannot contain all those points nor the fixpoints L.
Also none of the complex conjugates of those !!!

hence your half-plane is parallel to Re(z) > Q if it exists at all.

That was the reason for my comment about 3).

Maybe a link to H trapmann's paper is usefull.

I hope I have not offended you and you understand my viewpoint (now).

regards

tommy1729