{"title":"ASYMPTOTICS OF THE SPECTRUM OF HEUN'S EQUATION AND OF HEUN'S FUNCTIONS","authors":"M. Fedoryuk","doi":"10.1070/IM1992V038N03ABEH002217","DOIUrl":null,"url":null,"abstract":"New classes of Heun's functions that are eigenfunctions of a two-parameter spectral problem with boundary conditions at singular points of Heun's equation are introduced. The asymptotics of the spectrum and of Heun's functions are studied.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V038N03ABEH002217","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
New classes of Heun's functions that are eigenfunctions of a two-parameter spectral problem with boundary conditions at singular points of Heun's equation are introduced. The asymptotics of the spectrum and of Heun's functions are studied.