Double logarithmic asymptotic behavior of vertex functions in quantum chromodynamics. I

The method of calculating the double logarithmic asymptotics of vertex functions suggested by the authors in [5] is further developed. Now the method is applied to calculating the asymptotics of quantum chromodynamics perturbation theory diagrams of arbitrary order including at most one three-gluon vertex. Cancellation of terms proportional to the Kasimir operator $B$ is demonstrated in every order for the singlet formfactor of the quark.