08/13/2010, 05:41 AM
(08/12/2010, 12:26 PM)tommy1729 Wrote: about kouznetsov's tetration.
lim b -> oo f(a + bi) = fixpoint exp.
that seems true for integer a and integer b but is that true for all real a and b ?
it was said to be periodic , so i guess not.
It's true for all real a. b isn't free in that formula; the limit does not depend on how b approaches oo. Of course, this only works for bases greater than eta; below that the tetration function would be periodic, as you point out.

