Asymptotic properties of polynomials $\hat p_n^{\alpha,\beta}(x)$, orthogonal on any sets in the сase of integers $\alpha$, and $\beta$

Asymptotic properties of polynomials $\hat p_n^{\alpha,\beta}(x)$, orthogonal with weight $(1-x_j)^\alpha(1+x_j)^\beta\Delta t_j$ on any finite set of $N$ points from segment $[-1,1]$ are investigated. Namely an asymptotic formula is proved in which asymptotic behaviour of these polynomials as $n$ tends to infinity together with $N$ is closely related to asymptotic behaviour of the Jacobi polynomials.