{"title":"小函数与l函数差分微分多项式的唯一性","authors":"N. Mandal, N. Datta","doi":"10.37622/IJDE/15.2.2020.151-163","DOIUrl":null,"url":null,"abstract":"In this paper, we study the value distributions of L-functions in the extended Selberg class. We prove two theorems which shows how difference differential polynomials of L-functions and difference differential polynomials of meromorphic functions uniquely determined concerning weighted sharing of small or rational functions. Our results improve and generalize some recent results due to W. J. Hao, J. F. Chen [3], W. Q. Zhu, J. F. Chen [16] and N. Mandal, N. K. Datta [10]. 2010 Mathematics Subject Classification: 11M36, 30D35","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Small Functions and Uniqueness of Difference Differential Polynomials of L-functions\",\"authors\":\"N. Mandal, N. Datta\",\"doi\":\"10.37622/IJDE/15.2.2020.151-163\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the value distributions of L-functions in the extended Selberg class. We prove two theorems which shows how difference differential polynomials of L-functions and difference differential polynomials of meromorphic functions uniquely determined concerning weighted sharing of small or rational functions. Our results improve and generalize some recent results due to W. J. Hao, J. F. Chen [3], W. Q. Zhu, J. F. Chen [16] and N. Mandal, N. K. Datta [10]. 2010 Mathematics Subject Classification: 11M36, 30D35\",\"PeriodicalId\":36454,\"journal\":{\"name\":\"International Journal of Difference Equations\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Difference Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37622/IJDE/15.2.2020.151-163\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Difference Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/IJDE/15.2.2020.151-163","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
摘要
本文研究了扩展Selberg类中l -函数的值分布。证明了关于小函数或有理函数的加权共享如何唯一确定l函数的差分微分多项式和亚纯函数的差分微分多项式的两个定理。我们的研究结果改进和推广了最近的一些研究结果，这是由于Hao W. J. J. F. Chen [3]， Zhu W. Q. Chen[16]和N. Mandal, N. K. Datta[10]。2010数学学科分类:11M36, 30D35
Small Functions and Uniqueness of Difference Differential Polynomials of L-functions
In this paper, we study the value distributions of L-functions in the extended Selberg class. We prove two theorems which shows how difference differential polynomials of L-functions and difference differential polynomials of meromorphic functions uniquely determined concerning weighted sharing of small or rational functions. Our results improve and generalize some recent results due to W. J. Hao, J. F. Chen [3], W. Q. Zhu, J. F. Chen [16] and N. Mandal, N. K. Datta [10]. 2010 Mathematics Subject Classification: 11M36, 30D35
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