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Masses of the ground, orbitally and radially excited states of heavy-lightmesons are calculated within the framework of the QCD-motivated relativisticquark model based on the quasipotential approach. Both light (q=u,d,s) andheavy (Q=c,b) quarks are treated fully relativistically without application ofthe heavy quark 1/m_Q expansion. The Regge trajectories in the (M^2, J) and(M^2, n_r) planes are investigated and their parameters are obtained. Theresults are in good agreement with available experimental data except for themasses of the anomalous D^*_{s0}(2317), D_{s1}(2460) and D_{sJ}^*(2860) states.

Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model