Studies of open charm, charmonium and bottomonium production at LHCb

Studies of quarkonium and charm production in the forward region provide important tests of NRQCD. During 2010 and 2011 the LHCb experiment has collected a dataset corresponding to an integrated luminosity of 1 fb$^{-1}$ in proton-proton collisions at $\sqrt{s}$ = 7 TeV. We present studies of the production of open charm, charmonium, and bottomonium states and compare the results to recent theoretical predictions. We also present measurements of double charm production, performed for the first time at a hadron collider.