09/18/2009, 01:00 PM

(09/18/2009, 12:16 PM)tommy1729 Wrote: i mean , you get a fixed point for b^x = x , so you just use that fixed point to do regular half-iterates ?

As I already wrote there are formulas for regular iteration for and for (where is the derivative at the fixed point). In the case the derivative is , so you have digg deeper in the literature (though the matrix power iteration at that fixed point should do also, however if usually the resulting powerseries does not converge) about the case where is a (in our case: second) root of unity.

For the case we have a repelling fixed point. This gives an entire solution, which would imply that . This is not what mike3 wants. There should be a singularity at -2.

Its also slightly unpolite to not read the thread and then ask questions that are already answered/explained in the thread.