A Kannappan-sine addition law on semigroups

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-07-04 DOI:10.1007/s00010-024-01104-x

Jafar Ahmed, Ajebbar Omar, Elqorachi Elhoucien

引用次数: 0

Abstract

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 \(f(xyz_{0})=f(x)g(y)+f(y)g(x),x,y\in S.\)

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半群上的 Kannappan 正弦加法法则

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 \(f(xyz_{0})=f(x)g(y)+f(y)g(x),x,y\in S.\)

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

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.