Charm Production in Deep Inelastic Scattering : Mellin Moments of Heavy Flavor Contributions to F2(x Q^2) at NNLO The production of heavy quarks in high energy experiments offers a rich field to study both experimentally and theoretically. Due to the additional quark mass the description of these processes in the framework of perturbative QCD is much more demanding than it is for those involving only massless partons. In the last two decades a large amount of precision data has been collected by the deep inelastic HERA experiment. In order to make full use of these data a more precise theoretical description of charm quark production in deep inelastic scattering is needed. This work deals with the fir