{"title":"整个函数的幂与它的导数部分共享一个值","authors":"S. Majumder, J. Sarkar","doi":"10.3103/s1068362324700043","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with its derivatives and obtain a result, which improve several previous results. Also in the paper we include some applications of our main result.</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":"121 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Power of an Entire Function Sharing One Value Partially with Its Derivative\",\"authors\":\"S. Majumder, J. Sarkar\",\"doi\":\"10.3103/s1068362324700043\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>In the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with its derivatives and obtain a result, which improve several previous results. Also in the paper we include some applications of our main result.</p>\",\"PeriodicalId\":54854,\"journal\":{\"name\":\"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences\",\"volume\":\"121 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2024-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3103/s1068362324700043\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3103/s1068362324700043","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Power of an Entire Function Sharing One Value Partially with Its Derivative
Abstract
In the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with its derivatives and obtain a result, which improve several previous results. Also in the paper we include some applications of our main result.
期刊介绍：
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) is an outlet for research stemming from the widely acclaimed Armenian school of theory of functions, this journal today continues the traditions of that school in the area of general analysis. A very prolific group of mathematicians in Yerevan contribute to this leading mathematics journal in the following fields: real and complex analysis; approximations; boundary value problems; integral and stochastic geometry; differential equations; probability; integral equations; algebra.
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