  We have calculated the next-to-leading order cross sections for the inclusive
production of D*-mesons in ep collisions at HERA for finite, although very
small Q2. In this Q2-range, the same approximations as for photoproduction can
be used. Our calculation is performed in the general-mass
variable-flavour-number scheme. In this approach, large logarithms of the charm
transverse momentum are resummed and finite terms depending on m^2/p_T^2 are
kept in the hard scattering cross sections. The theoretical results are
compared with recent data from the ZEUS collaboration at HERA. On average, we
find good agreement.

High Energy Physics - Phenomenology