{"title":"亚纯函数的唯一性与Gross问题","authors":"YI Hong-xun","doi":"10.1360/YA1994-37-7-802","DOIUrl":null,"url":null,"abstract":"In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"21","resultStr":"{\"title\":\"Uniqueness of Meromorphic Functions and Question of Gross\",\"authors\":\"YI Hong-xun\",\"doi\":\"10.1360/YA1994-37-7-802\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross.\",\"PeriodicalId\":256661,\"journal\":{\"name\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"21\",\"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/YA1994-37-7-802\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1360/YA1994-37-7-802","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Uniqueness of Meromorphic Functions and Question of Gross
In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross.
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