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We use the Bessel-inspired behavior of the structure function F2 at small x,obtained for a flat initial condition in the DGLAP evolution equations. We fixthe scale of the coupling constant, which eliminates the singular part ofanomalous dimesnions at the next-to-leading order of approximation. Theapproach together with the "frozen" and analytic modifications of the strongcoupling constant is used to study the precise combined H1 and ZEUS data forthe structure function F2 published recently.

Q2-evolution of parton densities at small x values. Effective scale for combined H1 and ZEUS F2 data