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An intresting equation ? Taking squares by equation. - Printable Version

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An intresting equation ? Taking squares by equation. - tommy1729 - 05/08/2015

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