J. López-Bonilla, R. López-Vázquez, H. Torres-Silva
{"title":"On the Legendre Polynomials","authors":"J. López-Bonilla, R. López-Vázquez, H. Torres-Silva","doi":"10.1142/9789813142831_0014","DOIUrl":null,"url":null,"abstract":"We give a simple deduction of the Laplace’s integral formula for the Legendre polynomials, and we show that they permit to obtain the Lanczos derivative for higher orders.","PeriodicalId":216707,"journal":{"name":"Prespacetime Journal","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Prespacetime Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789813142831_0014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 16
Abstract
We give a simple deduction of the Laplace’s integral formula for the Legendre polynomials, and we show that they permit to obtain the Lanczos derivative for higher orders.