Ratio asymptotic of Hermite–Padé orthogonal polynomials for Nikishin systems. II

AbstractWe prove ratio asymptotic for sequences of multiple orthogonal polynomials with respect to a Nikishin system of measures N(σ1,…,σm) such that for each k, σk has constant sign on its support consisting on an interval Δ˜k, on which |σk′|>0 almost everywhere, and a set without accumulation points in R∖Δ˜k