Ratio Asymptotic of Hermite-Padé Orthogonal Polynomials for Nikishin Systems. II

Abey López García, Guillermo López Lagomasino

We prove ratio asymptotic for sequences of multiple orthogonal polynomials with respect to a Nikishin system of measures $\mathcal{N}({\sigma }_1,...,{\sigma }_m)$ such that for each $k$, the su…