  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 fix
the scale of the coupling constant, which eliminates the singular part of
anomalous dimesnions at the next-to-leading order of approximation. The
approach together with the "frozen" and analytic modifications of the strong
coupling constant is used to study the precise combined H1 and ZEUS data for
the structure function F2 published recently.
