We discuss charm meson-meson pair production in the forward rapidity region related to the LHCb experimental studies at = 7 TeV. We consider double-parton scattering mechanisms of double production and subsequent standard scale-independent hadronization as well as new double and mixed production mechanisms with $gg \to D^{0}D^{0}gc \to D^{0}D^{0}$ scale-dependent hadronization. The new scenario with gluon fragmentation components results also in a new single-parton scattering mechanism of production which is also taken here into account. Results of the numerical calculations are compared with the LHCb data for several correlation observables. The new mechanisms lead to a larger cross sections and to slightly different shapes of the calculated correlation observables.

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