Quote:For each *entire* function the regular iterations at each two different fixed points are different.

Do you mean that the function being iterated is entire, or that the continuous iterator is entire? For example, multiplication is entire, as is exponentiation (the continous iterator). However, exponentiation is entire, but tetration has at least the singularities at z=k, k an integer <= -2.

Edit: Since he just left (or is about to leave) on a 2-month trip, I might not get the answer directly. So anyone feel free to answer this question if you happen to know.

~ Jay Daniel Fox