Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures

TL;DR

This paper investigates the asymptotic behavior of multiple orthogonal polynomials associated with Nikishin systems, focusing on how perturbations in the measures affect their relative asymptotics.

Contribution

It provides new insights into the relative asymptotics of multiple orthogonal polynomials for perturbed Nikishin systems of two measures.

Findings

Analysis of asymptotic relations between polynomial sequences

Impact of measure perturbations on asymptotic behavior

Extension of existing theory to perturbed systems

Abstract

We study the relative asymptotics of two sequences of multiple orthogonal polynomials corresponding to two Nikishin systems of measures on the real line, the second one of which is obtained from the first one perturbing the generating measures with non-negative integrable functions. Each Nikishin system consists of two measures.