We calculate the A-dependence of charm and beauty production cross sec
tions on nuclear targets taking into account the difference of quark a
nd gluon distributions in free nucleons and in the nucleus. At compara
tively low energies, if sigma similar to A(alpha), the value of alpha
is slightly higher than unity. With the growth of the initial energy t
he value of alpha decreases and becomes smaller than unity. We also ca
lculate the values of alpha for different Feynman-x of the produced <Q
(Q)over bar> pair and obtain that they decrease significantly in the b
eam fragmentation region.