{"title":"微函数幂的双唯一性范围集","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":"{\"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}","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}
引用次数: 0
摘要
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。
Bi-uniqueness range sets for powers of meromorphic functions
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.]
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