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The emission spectrum has been calculated of a homogeneous pure hydrogenlayer, which parameters are typical for a flare on a red dwarf. The ionizationand excitation states were determined by the solution of steady-state equationstaking into account the continuum and all discrete hydrogen levels. We considerthe following elementary processes: electron-impact transitions, spontaneousand induced radiative transitions, and ionization by the bremsstrahlung andrecombination radiation of the layer itself. The Biberman--Holsteinapproximation was used to calculate the scattering of line radiation.Asymptotic formulae for the escape probability are obtained for a symmetricline profile taking into account the Stark and Doppler effects. Theapproximation for the core of the H$-\alpha$ line by a gaussian curve has beensubstantiated.  The spectral intensity of the continuous spectrum, the intensity of the linesof 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 emissionline intensities above the continuum decrease to such low values that theemission spectrum can be assumed to be continuum as well as the conditions atwhich the emission spectrum becomes close to the blackbody.

Continuum and line emission of flares on red dwarf stars