complex iteration

[jaydfox]

To illustrate why I think fractional iteration has a 0 convergence radius, take the following complex number and iterate it through f(z) = e^z-1:

Code:

Format = <real, imaginary>
<2.38450723099340379456484596525E-2, 9.30416399142415411721600587028E-5>

It should be quite entertaining, and illustrates a point about how does one find fractional iterations once we start including complex numbers.