{"title":"painlev<e:1> VI,超几何层次和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":"{\"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}","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}
Painlevé VI, hypergeometric hierarchies and Ward ansätze
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.