{"title":"论极性雅可比多项式","authors":"Roberto S. Costas-Santos","doi":"arxiv-2409.04502","DOIUrl":null,"url":null,"abstract":"In the present work, we investigate certain algebraic and differential\nproperties of the orthogonal polynomials with respect to a discrete-continuous\nSobolev-type inner product defined in terms of the Jacobi measure.","PeriodicalId":501145,"journal":{"name":"arXiv - MATH - Classical Analysis and ODEs","volume":"7 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Polar Jacobi Polynomials\",\"authors\":\"Roberto S. Costas-Santos\",\"doi\":\"arxiv-2409.04502\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present work, we investigate certain algebraic and differential\\nproperties of the orthogonal polynomials with respect to a discrete-continuous\\nSobolev-type inner product defined in terms of the Jacobi measure.\",\"PeriodicalId\":501145,\"journal\":{\"name\":\"arXiv - MATH - Classical Analysis and ODEs\",\"volume\":\"7 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-06\",\"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-2409.04502\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04502","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In the present work, we investigate certain algebraic and differential
properties of the orthogonal polynomials with respect to a discrete-continuous
Sobolev-type inner product defined in terms of the Jacobi measure.
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