{"title":"On the Asymptotic Behavior of the Weyl-Titchmarsh m-FUNCTION","authors":"A. A. Danielyan, B. Levitan","doi":"10.1070/IM1991V036N03ABEH002031","DOIUrl":null,"url":null,"abstract":"The asymptotic expansion valid outside any angle , 0$ SRC=http://ej.iop.org/images/0025-5726/36/3/A02/tex_im_2031_img4.gif/>, is obtained for the Weyl-Titchmarsh function of the Sturm-Liouville problem on the half-axis with potential . Bibliography: 8 titles.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"101 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"41","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V036N03ABEH002031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 41
Abstract
The asymptotic expansion valid outside any angle , 0$ SRC=http://ej.iop.org/images/0025-5726/36/3/A02/tex_im_2031_img4.gif/>, is obtained for the Weyl-Titchmarsh function of the Sturm-Liouville problem on the half-axis with potential . Bibliography: 8 titles.