{"title":"Riemann boundary value problems of polyanalytic functions and metaanalytic functions on the closed curves","authors":"Jinyuan Du, Yufeng Wang","doi":"10.1080/02781070500086677","DOIUrl":null,"url":null,"abstract":"In this article, Riemann boundary value problems (BVPs) of polyanalytic functions and metaanalytic functions on the closed curve are investigated. Using the theorem of decomposition of polyanalytic functions, the expression of solution and the condition of solvability for Riemann BVP of polyanalytic functions are obtained by reducing the problem to the equivalent Riemann BVP of analytic functions. Then the expression of solution and the condition of solvability for Riemann BVP of metaanalytic functions are obtained by reducing the problem into the equivalent Riemann BVP of polyanalytic functions.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"136 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"31","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02781070500086677","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 31
Abstract
In this article, Riemann boundary value problems (BVPs) of polyanalytic functions and metaanalytic functions on the closed curve are investigated. Using the theorem of decomposition of polyanalytic functions, the expression of solution and the condition of solvability for Riemann BVP of polyanalytic functions are obtained by reducing the problem to the equivalent Riemann BVP of analytic functions. Then the expression of solution and the condition of solvability for Riemann BVP of metaanalytic functions are obtained by reducing the problem into the equivalent Riemann BVP of polyanalytic functions.
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