  Processes of hevy quark photoproduction at HERA energies and beyond are
investigated using the semihard ($k_{\bot}$ factorization) approach. The
virtuality and longitudinal polarization of gluons in the photon - gluon
subprocess as well as the saturation effects in the gluon distribution function
at small $x$ have been taken into account. The total cross sections, rapidity
and $p_{\bot}$ distributions of the charm and beauty quark photoproduction have
been calculated. We obtained the some differences between the predictions of
the standard parton model and the semihard approach used here.
