Adler function, Bjorken polarized Sum Rule – confirmation of elements of the {β}-expansion and the diagrams

Different ways exist to obtain the elements of the {β}-expansion for renormgroup invariant quantities. Here we consider independent confirmation within the standard QCD of a number of our results [1] for the values of elements of this expansion for the nonsinglet Adler D_A-function, Bjorken polarized sum rules S^Bjp up to the order N^4LO. We suggest an approach to estimate the results of high order QCD calculations using a smaller number of diagrams of the specific type. This type is based on a proposed generalization of Naive NonAbelianization.