{"title":"Addition theorem for Gegenbauer functions","authors":"E. Tropp, L. Bakaleinikov","doi":"10.1109/DD.2000.902371","DOIUrl":null,"url":null,"abstract":"The Gegenbauer functions of the first and the second kind are introduced, which generalize the Gegenbauer polynomials. The addition theorem for these functions is obtained by using the 'interpolation of dimensions' technique.","PeriodicalId":184684,"journal":{"name":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2000.902371","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
The Gegenbauer functions of the first and the second kind are introduced, which generalize the Gegenbauer polynomials. The addition theorem for these functions is obtained by using the 'interpolation of dimensions' technique.