{"title":"Certain integrals involving legendre polynomials","authors":"JD Bulnes, J. L. Bonilla, J. Prajapati","doi":"10.15406/oajs.2023.06.00184","DOIUrl":null,"url":null,"abstract":"Here we exhibit alternative proofs of the identities given by Persson-Strang and (Huat-Chan)- -Wan-Zudilin for the Legendre polynomials. Besides, we show the connection between the Lanczos derivative and these polynomials via the Rangarajan-Purushothaman’s formula.","PeriodicalId":19581,"journal":{"name":"Open Access Journal of Science","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Access Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15406/oajs.2023.06.00184","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Here we exhibit alternative proofs of the identities given by Persson-Strang and (Huat-Chan)- -Wan-Zudilin for the Legendre polynomials. Besides, we show the connection between the Lanczos derivative and these polynomials via the Rangarajan-Purushothaman’s formula.
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