coo half-iterate div @ fix

[tommy1729]

what is known about Coo half-iterates that do not converge in the neighbourhood of the fixpoints ( even not with a mittag-leffler expansion ) ?

I'm not sure what you mean by "based on the fixed point". An example of the half iterate equation would be
\( \text{half-iterate}_e(x)=\text{sexp}_e(\text{slog}_e(x)+0.5) \)

- Shel

i didnt say " based on the fixed point " and if i would have said it , i would have meant regular iteration around the fixpoint.
( by using taylor series )

im talking about half-iterates that diverge in a neighbourhood of the fixed points.

regards

tommy1729