sqrt(exp)

[bo198214]

Now we have found consent

I mean one could expect that a half iterate has the same fixed points as the function itself.

No, One knows that if \( z^2=1 \), then it does not imply that \( z=1 \).

Well, modification: one would expect that for each fixed point of the function the half iterate has a branch with the same fixed point.

And further if there is such a branch (made up at the branch point \( L \)) then I would expect that \( \sqrt{\exp}_k \) has a (maybe isolated) singularity at \( L_{e,1} \).

I doubt about "isolated". There should be a branchpoint.

So thats something left to find out