{"title":"亚纯函数及其导数条件共享两个集合","authors":"†. Abhijitbanerjee, Santanu Dhar","doi":"10.46753/pjaa.2021.v08i01(ii).003","DOIUrl":null,"url":null,"abstract":". In the paper, with the aid of relaxed sharing hypothesis, we study the uniqueness of meromorphic (entire) functions whose derivatives share a finite set. The results in this paper will improve a number of theorems earlier obtained by Meng-Hu [11] and Meng [10]. Two examples have been exhibited by us to show that the conclusions in our results actually occur.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"MEROMORPHIC FUNCTIONS AND THEIR DERIVATIVES CONDITIONALLY SHARE TWO SETS\",\"authors\":\"†. Abhijitbanerjee, Santanu Dhar\",\"doi\":\"10.46753/pjaa.2021.v08i01(ii).003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In the paper, with the aid of relaxed sharing hypothesis, we study the uniqueness of meromorphic (entire) functions whose derivatives share a finite set. The results in this paper will improve a number of theorems earlier obtained by Meng-Hu [11] and Meng [10]. Two examples have been exhibited by us to show that the conclusions in our results actually occur.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Poincare Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46753/pjaa.2021.v08i01(ii).003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2021.v08i01(ii).003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
MEROMORPHIC FUNCTIONS AND THEIR DERIVATIVES CONDITIONALLY SHARE TWO SETS
. In the paper, with the aid of relaxed sharing hypothesis, we study the uniqueness of meromorphic (entire) functions whose derivatives share a finite set. The results in this paper will improve a number of theorems earlier obtained by Meng-Hu [11] and Meng [10]. Two examples have been exhibited by us to show that the conclusions in our results actually occur.