04/21/2023, 07:09 AM
(This post was last modified: 04/21/2023, 08:44 AM by Shanghai46.)
(04/21/2023, 01:19 AM)JmsNxn Wrote: GREAT OBSERVATION!
This is actually a very very deep problem, and I'll start with something easy and try to explain, what I think you are observing! It's one of the early tenets of Abel function theory.
\[
f_0^{\circ s}(x) = f'(0)^s x + O(x^2)\\
\]
Thank you very much! I'll investigate that to try yo fit \(\tau\) in the démonstration. If I understood correctly the property you added is in the Abel function theory, correct? I'll check it afterwards. Usually in math I'm not really good in demonstration, but to find things with my intuition. And yeah I know I usually go too fast and precipitate. Sorry!
Regards, Pierre.