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Let $f(x,y)$ be a symmetric rational function and a formal group law.
$G(x + y) = f(G(x),G(y)) $
Consider the equation
$$ h(2x) = f(h(x),h(x)) = A(h(x)) $$
This equation has many solutions.
Compute a solution to that equation with koenigs function, and call the solution $k(x)$.
So
$$k(2x)...