A Kannappan-sine addition law on semigroups

期刊论文
发表日期：

2024年7月4日

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Jafar Ahmed,
Ajebbar Omar,
Elqorachi Elhoucien

摘要

Let S be a semigroup and $z_{0}$ $z_{0}$ a fixed element in S. We determine the complex-valued solutions of the following Kannappan-sine addition law $f(xyz_{0})=f(x)g(y)+f(y)g(x),x,y\in S.$ $f (x y z_{0}) = f (x) g (y) + f (y) g (x), x, y \in S .$