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 $~O(\alpha^{n}_{s})~$ which belong only to the approximation in consideration are present in such a representation for the structure functions.