  The characteristics of the partial nuclear muon capture with massive
left-handed Dirac neutrino and relativistic component of the muon wave function
have been derived. The multipole amplitudes are given as a function of neutrino
mass parameter and reduced nuclear matrix elements which are modified by the
small component of the muon wave function. As an example, the capture rate,
asymmetry and polarization of recoil nuclei are investigated in terms of these
multipole amplitudes.
