{"title":"Meromorphic Functions Sharing Two Values","authors":"Ying Zhao, Zhigang Huang","doi":"10.1051/wujns/2024291007","DOIUrl":null,"url":null,"abstract":"Let [see formula in PDF] and [see formula in PDF] be two nonconstant meromorphic functions, and [see formula in PDF] be a positive integer. If [see formula in PDF] and [see formula in PDF] share 1 CM (counting multiplicities), [see formula in PDF] and [see formula in PDF] share [see formula in PDF] IM (ignoring multiplicities), and [see formula in PDF], then either [see formula in PDF] or [see formula in PDF], where [see formula in PDF]. As an application, shared values problems of a meromorphic function related to its shifts and difference operators are also investigated.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":"373 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wuhan University Journal of Natural Sciences","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.1051/wujns/2024291007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Multidisciplinary","Score":null,"Total":0}
引用次数: 0
Abstract
Let [see formula in PDF] and [see formula in PDF] be two nonconstant meromorphic functions, and [see formula in PDF] be a positive integer. If [see formula in PDF] and [see formula in PDF] share 1 CM (counting multiplicities), [see formula in PDF] and [see formula in PDF] share [see formula in PDF] IM (ignoring multiplicities), and [see formula in PDF], then either [see formula in PDF] or [see formula in PDF], where [see formula in PDF]. As an application, shared values problems of a meromorphic function related to its shifts and difference operators are also investigated.
设[见 PDF 中的公式]和[见 PDF 中的公式]是两个非恒定的分形函数，且[见 PDF 中的公式]是一个正整数。如果[见 PDF 中的公式]和[见 PDF 中的公式]共享 1 CM（计算乘数），[见 PDF 中的公式]和[见 PDF 中的公式]共享[见 PDF 中的公式]IM（忽略乘数），并且[见 PDF 中的公式]，那么要么[见 PDF 中的公式]，要么[见 PDF 中的公式]，其中[见 PDF 中的公式]。作为应用，我们还研究了与移项和差分算子有关的分形函数的共值问题。
期刊介绍：
Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.
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