05/08/2015, 11:37 PM
Let g be An analytic function with attracting parabolic fixpoint at 0.
( hyperbolic might also be intresting )
I want to compute g(u)^2 + g(g(u))^2 + ...
Instead of using super and Abel, work directly :
F(x) = x^2 + F(g(x))
Now the intresting things are
1) g is a polynomial
2) taking the 3rd derivative of the equation.
Regards
Tommy1729
( hyperbolic might also be intresting )
I want to compute g(u)^2 + g(g(u))^2 + ...
Instead of using super and Abel, work directly :
F(x) = x^2 + F(g(x))
Now the intresting things are
1) g is a polynomial
2) taking the 3rd derivative of the equation.
Regards
Tommy1729