{"title":"二阶线性微分方程多项式特征函数的 Christoffel-Darboux 公式","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":"{\"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}","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}
Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear Differential Equations
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.
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