Once More on the Radiative Corrections to the Nucleon Structure Functions in QCD

A new representation of the next to leading QCD corrections to the nucleon structure functions is given in terms of parton distributions. All ${\alpha }_s$ corrections to the leading logarithmic approximation (LLA) are included. In contrast to the similar representations in the literature terms of order $O({\alpha }_s^2)$ do not attend in our expressions for the nucleon structure functions taken in the next to leading logarithmic approximation. This result is generelized for any order in ${\alpha }_s$ beyond the LLA. Terms of order $O({\alpha }_s^n)$ which belong only to the approximation in consideration are present in such a representation for the structure functions.