{"title":"The value distribution of f\"f'","authors":"Chen Huaihui, Fang Mingliang","doi":"10.1360/YA1995-38-7-789","DOIUrl":null,"url":null,"abstract":"Hayman's conjecture has been completely proved: if f(z) is a transcendental meromorphic function in the plane, then ff' assumes every finite non-zero complex value infinitely often. Furthermore, some related criteria have been deduced for normality of a family of meromorphic functions and results on the angular distribution have been given.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1360/YA1995-38-7-789","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 17
Abstract
Hayman's conjecture has been completely proved: if f(z) is a transcendental meromorphic function in the plane, then ff' assumes every finite non-zero complex value infinitely often. Furthermore, some related criteria have been deduced for normality of a family of meromorphic functions and results on the angular distribution have been given.
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