  We reconsider the Euler-Lagrange equation for the Skyrme model in the
hedgehog ansatz and study the analytical properties of the solitonic solution.
In view of the lack of a closed form solution to the problem, we work on
approximate analytical solutions. We show that Pade approximants are well
suited to continue analytically the asymptotic representation obtained in terms
of a power series expansion near the origin, obtaining explicit approximate
solutions for the Skyrme equations. We improve the approximations by applying
the 2-point Pade approximant procedure whereby the exact behaviour at spatial
infinity is incorporated. An even better convergence to the exact solution is
obtained by introducing a modified form for the approximants. The new
representations share the same analytical properties with the exact solution at
both small and large values of the radial variable r.
