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arXiv · 0707.1996

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

Abey López García·Guillermo López Lagomasino
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Abstract

We prove ratio asymptotic for sequences of multiple orthogonal polynomials with respect to a Nikishin system of measures ${\mathcal{N}}(σ_1,...,σ_m)$ such that for each $k$, the support of $σ_k$ consists of an interval $\widetildeΔ_k$, on which $σ_k^{\prime} > 0$ almost everywhere, and a set without accumulation points in $\mathbb{R} \setminus \widetildeΔ_k$.

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Abey López García, Guillermo López Lagomasino. 2007-07-13. Ratio Asymptotic of Hermite-Padé Orthogonal Polynomials for Nikishin Systems. II. https://arxiv.org/abs/0707.1996

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