  The complete electroweak O(alpha) radiative corrections to the Higgs-boson
production processes e+ e- -> nu_l anti-nu_l H (l=e,mu,tau) are calculated in
the electroweak Standard Model. For e+ e- -> nu_e anti-nu_e H, where ZH
production and W-boson fusion contribute, both production channels are added
coherently. The calculation of the corrections is described in some detail
including, in particular, the treatment of the Z-boson resonance in the
ZH-production channel. The discussion of numerical results focusses on the
total cross section as well as on angular and energy distributions of the Higgs
boson. In the Gmu-scheme, the bulk of the corrections is due to initial-state
radiation. The corrections turn out to reduce the total cross section by \sim
10% for high energies, where the W-boson fusion dominates. In this region, the
corrections depend only weakly on the energy and the production angle of the
Higgs boson. Based on an analysis of the leading universal corrections, a
simple improved Born approximation is introduced. This approximation describes
the corrected cross section within about 3%.
