{"title":"集的加权共享与亚纯函数与导数的唯一性","authors":"H. Waghamore, S. Vijaylaxmi","doi":"10.32513/tmj/19322008139","DOIUrl":null,"url":null,"abstract":"In this paper, we deal with meromorphic functions and its kth derivative. We consider a set of roots of unity, which shares the functions of the form (fnP(f))(k) and (gnP(g))(k) and obtain uniqueness results which improves the results of V. H. An and H. H. Khoai. Also, by introducing the concept of weighted sharing, we obtain analogous results from these authors.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weighted sharing of a set and uniqueness of meromorphic functions with derivatives\",\"authors\":\"H. Waghamore, S. Vijaylaxmi\",\"doi\":\"10.32513/tmj/19322008139\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we deal with meromorphic functions and its kth derivative. We consider a set of roots of unity, which shares the functions of the form (fnP(f))(k) and (gnP(g))(k) and obtain uniqueness results which improves the results of V. H. An and H. H. Khoai. Also, by introducing the concept of weighted sharing, we obtain analogous results from these authors.\",\"PeriodicalId\":43977,\"journal\":{\"name\":\"Tbilisi Mathematical Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tbilisi Mathematical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32513/tmj/19322008139\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tbilisi Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32513/tmj/19322008139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Weighted sharing of a set and uniqueness of meromorphic functions with derivatives
In this paper, we deal with meromorphic functions and its kth derivative. We consider a set of roots of unity, which shares the functions of the form (fnP(f))(k) and (gnP(g))(k) and obtain uniqueness results which improves the results of V. H. An and H. H. Khoai. Also, by introducing the concept of weighted sharing, we obtain analogous results from these authors.
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