  The recent measured \gamma*\gamma \rightarrow \pi^0 transition form factor in
the space-like region by the Belle Collaboration together with the previous
published results by CLEO, CELLO and BABAR collaborations are analyzed using
the mathematical theory of Pad\'e Approximants which provides a good and
systematic description of the low energy region exemplified here with the
extraction of the slope a_{\pi} and curvature b_{\pi} of the form factor in a
model-independent way. The impact of them on the pion exchange contribution to
the hadronic light-by-light scattering part of the anomalous magnetic moment
a_{\mu} is also discussed.
