{"title":"Painlevé VI, hypergeometric hierarchies and Ward ansätze","authors":"M. Shah, N. Woodhouse","doi":"10.1088/0305-4470/39/39/S17","DOIUrl":null,"url":null,"abstract":"We show that Okamoto's classical solutions to PVI constructed from a seed solution of Gauss' hypergeometric equation can be derived very simply from the Ward ansätze for ASDYM connections.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/39/S17","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
We show that Okamoto's classical solutions to PVI constructed from a seed solution of Gauss' hypergeometric equation can be derived very simply from the Ward ansätze for ASDYM connections.