  In the present work, we investigate the production of $P-$wave charmed or
charmed-strange mesons in the pion or kaon induced reactions on a proton
target. The total cross sections as well as the differential cross sections
depending on the scattering angle are evaluated in an effective Lagrangian
approach. Our estimations indicate that magnitude of the cross sections
strongly depends on the model parameter but such dependence can be almost
completely canceled for the cross section ratios. These model independent
ratios can be taken as a good criterion of the validity of heavy quark limit in
the charmed region, which is helpful to understand $P$-wave charmed and
charmed-strange mesons.
