Complex Tetration

[Balarka Sen]

Yes, I forgot about that. Robbins' method does not in fact work for every base.

I am not really concerned for the base. In my case, it is enough if it works for all the positive integer base. I am much more interested in complex (or perhaps real) heights. (A. Robbins is here too? Mein gott, this seems like a whole community of mathematicians!)

tetration is not defined for negative-integer heights equal to -2 or less. It has branch points (not poles) at those heights.

Thanks. But why the code gives such results? Is it doing something like regularization for negative integers smaller than -1? What if we define those point by taking principle values of those (if possible)?

I don't know of a code off-hand, but I suppose I could whip one up.

I terribly need some code like that since I don't have mathematica or maple. Please create one if possible.