  The contributions to the g-2 of the muon from some tenth-order (five-loop)
graphs containing one-loop and two-loop vacuum polarization insertions have
been evaluated analytically in QED perturbation theory, expanding the results
in the ratio of the electron to muon mass (m_e /m_\mu). Some results contain
also terms known only in numerical form. Our results agree with the
renormalization group results already existing in the literature.
