  The description of the VV'P form factors (V,V' stands for vector particles
and P for a pseudoscalar meson) for different particles virtualities remains a
challenge for the theory of strong interactions. While their chiral limit is
well understood, recent measurements of the gamma^* omega pi^0 and gamma^*
gamma pi^0 form factors at high photon virtualities seem to depart from the
simplest scaling behavior suggested by QCD. Here we attempt to describe them in
their whole measured energy regimes within the Resonance Chiral Theory, a
framework which naturally incorporates the chiral limit constraints and extends
to higher energies by including the resonances as active fields.
  Specifically, we obtained an accurate description of the data up to 2 GeV on
the former form factor by including three multiplets of vector resonances. Good
agreement with measurements of the latter was possible even in the single
resonance approximation, although we propose to measure the e^+e^- to
mu^+mu^-pi^0 cross-section and di-muon invariant mass distribution to better
characterize this form factor. We have then evaluated the pion exchange
contribution to the muon g-2 obtaining (6.66\pm0.21)x10^{-10} with an accurate
determination of the errors. We have also recalled that approximating the whole
pion exchange by the pion pole contribution underestimates the corresponding
result for the anomaly (by (15,20)%). Based on these results, we have predicted
the eta^(\prime) transition form factors obtaining good agreement with data and
obtained their respective contributions to the muon anomaly. In this way, the
contribution of the three lightest pseudoscalars to it yields
(10.47\pm0.54)x10^{-10}, in agreement with previous evaluations but with
smaller error.
