We investigate the processes $\mathrm{eN}\to \mathrm{ehX}$, $(\nu , \overline{\nu })N\to \mu \mathrm{hX}$ ($h=\pi , \rho , \gamma$) in three different kinematic regions and study the behavior of the relevant integrated structure functions in generalized Bjorken limits. The technique used is a generalization of the bilocal current algebra put forward by Fritzsch and Gell-Mann. As a consequence of the hypothesis of light-cone dominance, we obtain scaling in the Bjorken limits of all the three kinematic regions. We also find that the scaling functions are expressible as a linear combination of those for the ordinary inclusive reactions and that their explicit dependence on the scale parameters is uniquely predicted once the scaling functions for the processes $\mathrm{eN}\to \mathrm{eX}$ and $(\nu , \overline{\nu })N\to \mu X$ are known.

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