commutive polyomials ? A(B) = B(A) ??

[bo198214]

I thought calculating the Schröder iteration for formal powerseries is doing that (for the case c_0=0 and |c_1|!=1).
So you just take that algorithm and see whether it stops after a while if you want to know whether the polynomial has a polynomial that it commutes with.
Though I am not sure what's the actual question.

Here is the link to the recursive calculation of the powerseries coefficients:
https://math.eretrandre.org/tetrationfor...3#pid10733