{"title":"弱加权共享亚纯函数齐次微分多项式的唯一性","authors":"D. C. Pramanik, Jayanta Roy","doi":"10.7153/jca-2020-16-04","DOIUrl":null,"url":null,"abstract":". In 2006 S. Lin and W. Lin [3] fi rst de fi ned the concept of weakly-weighted sharing of functions and proved some results on uniqueness of a meromorphic function f and its n -th derivative f ( n ) . Using this notion of weakly-weighted sharing of functions, in this paper we prove uniqueness of homogeneous differential polynomials P [ f ] and P [ g ] generated by mero- morphic functions f and g respectively.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Uniqueness of homogeneous differential polynomials of meromorphic functions concerning weakly weighted sharing\",\"authors\":\"D. C. Pramanik, Jayanta Roy\",\"doi\":\"10.7153/jca-2020-16-04\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In 2006 S. Lin and W. Lin [3] fi rst de fi ned the concept of weakly-weighted sharing of functions and proved some results on uniqueness of a meromorphic function f and its n -th derivative f ( n ) . Using this notion of weakly-weighted sharing of functions, in this paper we prove uniqueness of homogeneous differential polynomials P [ f ] and P [ g ] generated by mero- morphic functions f and g respectively.\",\"PeriodicalId\":73656,\"journal\":{\"name\":\"Journal of classical analysis\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of classical analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/jca-2020-16-04\",\"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 classical analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/jca-2020-16-04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
。2006年S. Lin和W. Lin [3]fi首次定义了函数的弱加权共享概念，并证明了亚纯函数f及其n阶导数f (n)的唯一性。利用函数的弱加权共享的概念，证明了分别由亚模函数f和g生成的齐次微分多项式P [f]和P [g]的唯一性。
Uniqueness of homogeneous differential polynomials of meromorphic functions concerning weakly weighted sharing
. In 2006 S. Lin and W. Lin [3] fi rst de fi ned the concept of weakly-weighted sharing of functions and proved some results on uniqueness of a meromorphic function f and its n -th derivative f ( n ) . Using this notion of weakly-weighted sharing of functions, in this paper we prove uniqueness of homogeneous differential polynomials P [ f ] and P [ g ] generated by mero- morphic functions f and g respectively.
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