12/14/2009, 04:42 AM
Most likely such a thing will turn out as equivalent to the usual regular iteration of exp from the repelling fixed point. This does not give real values for tetration at the real axis and does not have singularities (i.e. cannot satisfy \( F(-1) = 0 \)) so it doesn't really seem to make sense for a generalization of tetration of base e to real or complex towers.