We present non-LTE calculations for an expanding red giant's atmospher
e ionized from the outside by the radiation of a nearby hot radiation
source. We show that the hydrogen emission lines emerge from a narrow
transition zone where hydrogen changes from ionized to neutral. In thi
s region the Balmer lines are optically thick, and their profiles cruc
ially depend on the magnitude of optical thickness which in turn, depe
nds on the velocity gradient within that region. Balmer decrements of
the model calculations depend on the densities in the recombination zo
ne of the radiatively ionized wind. We find a large variety of complex
line profiles, that in some cases could be mistaken for accretion dis
k profiles. The profiles depend on the velocity law in the formation z
one at sub-sonic velocities, but contrary to expectation, the profiles
do not reflect the terminal velocity of the wind. The central part of
our model profiles compare well with the observed profile of the ecli
psing binary SY Mus at maximum light.