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We show that the charm structure functions $F^{c}_{k}$ have a hard pomeronbehavior at low x, as the gluon distribution is dominated by the hard (Lipatov)pomeron at small x and all $Q^{2}$ values. It is shown that the charm structurefunctions obtained, using the gluon distribution functions, are in agreementwith data from HERA in the next-to-leading analysis (NLO). Having checked thatthis behavior gives the charm structure functions exponent independent of x.With respect to the hard (Lipatov) pomeron for the low-x gluon distribution, weprovide a compact formula for the ratio $R^{c} = F^{c}_{L}/F^{c}_{2}$ that isapproximately independent of x at low x and its independent of the input gluondistribution function at all $Q^{2}$ values.

NLO corrections to the hard pomeron behavior of the charm structure functions $F^{c}_{k} (k = 2,L)$ at low x