{"title":"Bi-uniqueness range sets for powers of meromorphic functions","authors":"P. Sahoo, A. Sarkar","doi":"10.56947/amcs.v20.223","DOIUrl":null,"url":null,"abstract":"In the paper, we study the uniqueness of powers of meromorphic functions for sharing two finite sets with finite weights and find Bi-unique range sets for meromorphic functions of power at least d. Examples are given in support of our result. We are inspired by the results due to A. Banerjee [Nihonkai Math. J. Vol.24 (2013), 121-134] and a recent result due to S. Mallick and D. Sarkar [Mat. Stud. 50(2018), 143-157.]","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/amcs.v20.223","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In the paper, we study the uniqueness of powers of meromorphic functions for sharing two finite sets with finite weights and find Bi-unique range sets for meromorphic functions of power at least d. Examples are given in support of our result. We are inspired by the results due to A. Banerjee [Nihonkai Math. J. Vol.24 (2013), 121-134] and a recent result due to S. Mallick and D. Sarkar [Mat. Stud. 50(2018), 143-157.]
在本文中，我们研究了共享两个有限权集的分形函数幂的唯一性，并为幂至少为 d 的分形函数找到了双唯一范围集。我们受到了 A. Banerjee [Nihonkai Math. J. Vol.24 (2013), 121-134] 的结果以及 S. Mallick 和 D. Sarkar [Mat. Stud. 50(2018), 143-157] 的最新结果的启发。
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