A. Jafar

collaborators

2 papers

math.GM2023

A Kannappan-sine subtraction law on semigroups

Ahmed Jafar, Omar Ajebbar, Elhoucien Elqorachi

Let $S$ be a semigroup, $z_{0}$ a fixed element in $S$ and $σ : S ⟶ S$ an involutive automorphism. We determine the complex-valued solutions of Kannappan-sine subtraction…

math.FA2023

A Kannappan-cosine functional equation on semigroups

Ahmed Jafar, Omar Ajebbar, Elhoucien Elqorachi

We determine the complex-valued solutions of the Kannappan cosine functional law $g (x y z_{0}) = g (x) g (y) - f (x) f (y)$ , $x, y \in S$ , where $S$ is a semigroup and $z_{0}$ is a fixed element…