  The emission spectrum has been calculated of a homogeneous pure hydrogen
layer, which parameters are typical for a flare on a red dwarf. The ionization
and excitation states were determined by the solution of steady-state equations
taking into account the continuum and all discrete hydrogen levels. We consider
the following elementary processes: electron-impact transitions, spontaneous
and induced radiative transitions, and ionization by the bremsstrahlung and
recombination radiation of the layer itself. The Biberman--Holstein
approximation was used to calculate the scattering of line radiation.
Asymptotic formulae for the escape probability are obtained for a symmetric
line profile taking into account the Stark and Doppler effects. The
approximation for the core of the H$-\alpha$ line by a gaussian curve has been
substantiated.
  The spectral intensity of the continuous spectrum, the intensity of the lines
of the Balmer series and the magnitude of the Balmer jump have been calculated.
The conditions have been determined for which the Balmer jump and the emission
line intensities above the continuum decrease to such low values that the
emission spectrum can be assumed to be continuum as well as the conditions at
which the emission spectrum becomes close to the blackbody.
