English

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

Classical Analysis and ODEs 2025-03-10 v2

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.

Keywords

Cite

@article{arxiv.2407.16738,
  title  = {Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures},
  author = {Abey López-García and Guillermo López Lagomasino},
  journal= {arXiv preprint arXiv:2407.16738},
  year   = {2025}
}

Comments

21 pages, definitive version with some minor changes with respect to the previous version