{"title":"Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures","authors":"Abey López-García, Guillermo López Lagomasino","doi":"arxiv-2407.16738","DOIUrl":null,"url":null,"abstract":"We study the relative asymptotics of two sequences of multiple orthogonal\npolynomials corresponding to two Nikishin systems of measures on the real line,\nthe second one of which is obtained from the first one perturbing the\ngenerating measures with non-negative integrable functions. Each Nikishin\nsystem consists of two measures.","PeriodicalId":501145,"journal":{"name":"arXiv - MATH - Classical Analysis and ODEs","volume":"50 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.16738","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.
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