  The HeII->HeI recombination of primordial helium plasma (z = 1500 - 3000) is
considered in terms of the standard cosmological model. This process affects
the formation of cosmic microwave background anisotropy and spectral
distortions. We investigate the effect of neutral hydrogen on the HeII->HeI
recombination kinetics with partial and complete redistributions of radiation
in frequency in the HeI resonance lines. It is shown that to properly compute
the HeII->HeI recombination kinetics, one should take into account not only the
wings in the absorption and emission profiles of the HeI resonance lines, but
also the mechanism of the redistribution of resonance photons in frequency.
Thus, for example, the relative difference in the numbers of free electrons for
the model using Doppler absorption and emission profiles and the model using a
partial redistribution in frequency is 1 - 1.3% for the epoch z = 1770 - 1920.
The relative difference in the numbers of free electrons for the model using a
partial redistribution in frequency and the model using a complete
redistribution in frequency is 1 - 3.8% for the epoch z = 1750 - 2350.
