Photo- and electroproduction of charm at high energies

In the framework of model motivated by perturbative calculations in QCD we estimate the differential and total cross sections for both the photoproduction of vector $D^*$-mesons and their yield in deep inelastic scattering at the HERA collider. The offered model allows us to take into account higher twists over the transverse momentum of meson at $p_T \sim m_c$ and correctly to approach the dominance of $c$-quark fragmentation at $p_T \gg m_c$. We consider a possibility for the hadronization of color-octet $c \bar q$-state into the meson, which results in a good agreement with the experimental data for both the photoproduction and the production in deep inelastic scattering.