Theoretical Results in Heavy Flavour Production

We review one-particle inclusive production of heavy-flavoured hadrons in a framework which resums the large collinear logarithms through the evolution of the FFs and PDFs and retains the dependence on the heavy-quark mass. We focus on presenting results for the inclusive cross section for the production of charmed mesons in collisions and the comparison with CDF data as well as on inclusive B-meson production and comparison with recent CDF data, for which in both new determined fragmentation functions have been used. We asses the sensitivity of CDF data of D0 inclusive production to the internal charm parametrization given by Pumplin et al. [J. Pumplin, H. L. Lai and W. K. Tung, Phys. Rev. D75, 054029 (2007)].