09/08/2009, 02:20 PM
Quote:if the entire tetration is with real values at integers, it can't be differentiable at z=-2
Oh, you are right with that. My mistake. An entire takes on every value at most *except* one, and this seems to be 0 here.
Yes then you are right, you can choose it such that sexp(0)=1, but it then would not satisfy sexp(-1)=0, but that sexp(-1)=2*pi*k for some nonzero k.
