{"title":"半群上的 Kannappan 正弦加法法则","authors":"Jafar Ahmed, Ajebbar Omar, Elqorachi Elhoucien","doi":"10.1007/s00010-024-01104-x","DOIUrl":null,"url":null,"abstract":"<div><p>Let <i>S</i> be a semigroup and <span>\\(z_{0}\\)</span> a fixed element in <i>S</i>. We determine the complex-valued solutions of the following Kannappan-sine addition law <span>\\(f(xyz_{0})=f(x)g(y)+f(y)g(x),x,y\\in S.\\)</span></p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Kannappan-sine addition law on semigroups\",\"authors\":\"Jafar Ahmed, Ajebbar Omar, Elqorachi Elhoucien\",\"doi\":\"10.1007/s00010-024-01104-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Let <i>S</i> be a semigroup and <span>\\\\(z_{0}\\\\)</span> a fixed element in <i>S</i>. We determine the complex-valued solutions of the following Kannappan-sine addition law <span>\\\\(f(xyz_{0})=f(x)g(y)+f(y)g(x),x,y\\\\in S.\\\\)</span></p></div>\",\"PeriodicalId\":55611,\"journal\":{\"name\":\"Aequationes Mathematicae\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Aequationes Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00010-024-01104-x\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Aequationes Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00010-024-01104-x","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
让 S 是一个半群，\(z_{0}\) 是 S 中的一个固定元素。我们确定以下 Kannappan 正弦加法定律的复值解 \(f(xyz_{0})=f(x)g(y)+f(y)g(x),x,y\in S.\)
Let S be a semigroup and \(z_{0}\) a fixed element in S. We determine the complex-valued solutions of the following Kannappan-sine addition law \(f(xyz_{0})=f(x)g(y)+f(y)g(x),x,y\in S.\)
期刊介绍：
aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.
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