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It is shown that in the leading twist approximation of the Wilson operatorproduct expansion with "frozen" and analytic strong coupling constants,considering the Bessel-inspired behavior of the structure functions F2 and thederivative d ln F2/(d ln(1/x)) at small x values, obtained for a flat initialcondition in the DGLAP evolution equations,leads to a good agreement with thedeep inelastic scattering H1 and ZEUS experimental data from HERA

Q^2-evolution of parton densities at small x values and H1 and ZEUS experimental data