On the distribution function of the values of orthogonal polynomials (Q1406398)

Let \(p\) be a weight function on the segment \( \Delta = [-1,1] \) and \(P_n\), \( n\in N_0\), be the corresponding sequence of the orthonormalized polynomials \[ \int\limits_\Delta P_n(x)P_m(x)p(x) dx = \delta_{nm},\quad n, m\in N_0. \] The author investigates the distribution function of the values of the orthonormalized polynomial module.