{"title":"关于四项递推关系生成的多项式族","authors":"Vanessa Botta, Eduardo Fornazieri Filho","doi":"10.5540/03.2023.010.01.0078","DOIUrl":null,"url":null,"abstract":". This paper investigates the distribution, simplicity, and monotonicity of the zeros of even and odd polynomials generated by a four-term recurrence relation and linear coefficients. Palavras-chave . Even and odd polynomials, Four-term recurrence relation, Zeros.","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"294 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the family of polynomials generated by a four-term recurrence relation\",\"authors\":\"Vanessa Botta, Eduardo Fornazieri Filho\",\"doi\":\"10.5540/03.2023.010.01.0078\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This paper investigates the distribution, simplicity, and monotonicity of the zeros of even and odd polynomials generated by a four-term recurrence relation and linear coefficients. Palavras-chave . Even and odd polynomials, Four-term recurrence relation, Zeros.\",\"PeriodicalId\":274912,\"journal\":{\"name\":\"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics\",\"volume\":\"294 \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5540/03.2023.010.01.0078\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5540/03.2023.010.01.0078","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the family of polynomials generated by a four-term recurrence relation
. This paper investigates the distribution, simplicity, and monotonicity of the zeros of even and odd polynomials generated by a four-term recurrence relation and linear coefficients. Palavras-chave . Even and odd polynomials, Four-term recurrence relation, Zeros.
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