{"title":"Unique special solution for discrete Painlevé II","authors":"Walter Van Assche","doi":"10.1080/10236198.2023.2294919","DOIUrl":null,"url":null,"abstract":"We show that the discrete Painlevé II equation with starting value a−1=−1 has a unique solution for which −1<an<1 for every n≥0. This solution corresponds to the Verblunsky coefficients of a family...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"37 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Difference Equations and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10236198.2023.2294919","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We show that the discrete Painlevé II equation with starting value a−1=−1 has a unique solution for which −1
期刊介绍:
Journal of Difference Equations and Applications presents state-of-the-art papers on difference equations and discrete dynamical systems and the academic, pure and applied problems in which they arise. The Journal is composed of original research, expository and review articles, and papers that present novel concepts in application and techniques.
The scope of the Journal includes all areas in mathematics that contain significant theory or applications in difference equations or discrete dynamical systems.