We report theoretical HI visible and near-IR line profiles, i.e. H alpha (6
562 Angstrom), H beta (4861 Angstrom) and Br gamma (21 656 Angstrom), and i
ntensity maps for a large set of parameters (density, temperature, envelope
geometry, inclination angle), representative of early to late Be spectral
types. We have computed the size of the emitting region in the Br gamma lin
e and its nearby continuum which both originate from a very extended region
, i.e. at least 40 stellar radii which is twice the size of the H alpha emi
tting region. We predict the relative fluxes from the central star, the env
elope contribution in the given lines and in the continuum for a wide range
of parameters characterizing the disk models. For a density p = 5 10(-13)
gcm(-3) at the base of the stellar photosphere, we obtain the largest proba
bility of HI IR lines in emission, which is a factor of 100 lower than typi
cal values found for Be stars. We have also studied the effect of changing
the spectral type on our results and we obtain a clear correlation between
the luminosity in H alpha and in the infrared. We found that for a density
p = 5 10(-12) gcm(-3), the probability of detecting HI IR lines in emission
must be stronger for late-B spectral type stars. If no IR lines are detect
ed for late types, it may indicate that the density in the disc is very hig
h (similar to 10(-11) gcm(-3)). On the other hand, we found that around p =
5 10(-13) g cm(-3), it is possible to have a large envelope contribution i
n the Br gamma line and a similar or even smaller emission in the Balmer li
nes. Even if Br gamma is formed in an extended region, it is possible to ob
tain a FWHM and a V/R that agree well with observed profiles. Finally, it s
eems that the contribution in the Br gamma line increases when the envelope
becomes more and more "disk-like", contrary to the H alpha and H beta line
s.