Invariant characteristics of special compositions in Weyl spaces $W_N$

In the present paper invariant characteristics of geodesic, chebyshevian and quasi-chebyshevian compositions $X_{n_1}\times X_{n_2}\times\dots\times X_{n_p}$ in Weyl spaces $W_N(n_1+n_2+\dots+n_p=N)$ are found with the help of the prolonged covariant differentiation. The characteristics of the spaces $W_N$ which contain such special compositions are found.