We study the inclusive hadroproduction of D0, D+, D*+, and mesons at leading order in the parton Reggeization approach endowed with universal fragmentation functions fitted to e+e− annihilation data from CERN LEP1. We have described D-meson transverse momentum distributions measured in the central region of rapidity by the CDF Collaboration at Tevatron (|y| < 1) and ALICE Collaboration at the LHC (|y| < 0.5) within uncertainties and without free parameters, using Kimber-Martin-Ryskin approach to obtain unintegrated gluon distribution function in a proton.
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