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