Weighted equilibrium and the flow of derivatives of polynomials

Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov

Given a sequence of polynomials $Q_n$ of degree $n$ with zeros on $[-1,1]$, we consider the triangular table of derivatives $Q_{n,k}(x)=d^k{Q}_n(x)/d{x}^k$. Under the assumption th…