10/17/2009, 10:47 AM

(10/16/2009, 08:52 PM)Base-Acid Tetration Wrote: Are the singularities of tetration branch points, poles or essential singularities?

It is well known that there is a logarithmic singularity at -2, which is a specific kind of essential singularity. It is also known that there are essential singularities at -3, -4, etc, but exactly what kind of singularities these are is not well known. What we do know, is that if you exponentiate these singularities a certain number of times, then you get a logarithmic singularity, and if you exponentiate again, then you get zero.