  The hadronic vacuum polarization contribution to the muon (g-2) value is
calculated by considering a known dispersion integral which involves the $R_{e+
e-}(s)$ ratio. The theoretical part stemming from the region below 1.8 GeV is
the largest contribution in our approach, and is calculated by using a contour
integral involving the associated Adler function $D(Q^2)$. In the resummations,
we explicitly take into account the exactly known renormalon singularity of the
leading infrared renormalon in the usual and in the modified Borel transform of
$D(Q^2)$, and map further away from the origin the other renormalon
singularities by employing judiciously chosen conformal transformations. The
renormalon effect increases the predicted value of the hadronic vacuum
polarization contribution to the muon (g-2), and therefore diminishes the
difference between the recently measured and the SM/QCD-predicted value of
(g-2). It is also shown that the total QED correction to the hadronic vacuum
polarization is very small, about 0.06 percent.
