{"title":"Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear Differential Equations","authors":"V. E. Kruglov","doi":"10.1134/s0012266124040037","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> Using recurrence relations between any three consecutive polynomial eigenfunctions of\nsecond-order linear differential equations, the Christoffel–Darboux formulas are derived for the\nsystem of polynomial eigenfunctions of these equations.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266124040037","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
Using recurrence relations between any three consecutive polynomial eigenfunctions of
second-order linear differential equations, the Christoffel–Darboux formulas are derived for the
system of polynomial eigenfunctions of these equations.