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The first measurements of the top- and antitop-quark differential production cross sections and the top-quark charge asymmetry in the forward region are presented, using proton-proton collision data collected by the LHCb experiment at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 5.4 fb^{-1}. The total production cross sections of top and antitop quarks are also determined. Measurements are performed using the μ+b-jet final state within a fiducial region defined by b-jet p_{T,jet}>50 GeV and pseudorapidity 2.2