Omar Ajebbar

most citedA Kannappan-sine addition law on semigroups

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.GM2023

Cosine-sine functional equation on semigroups

Omar Ajebbar, Elhoucien Elqorachi

Let $S$ be a semigroup. We determine the complex-valued solutions $f, g, h$ of the functional equation \begin{equation*}f(xy)=f(x)g(y)+g(x)f(y)+h(x)h(y), x,y\in S,\end{equation*} in…

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…

math.GM2023★ 1 cited

A Kannappan-sine addition law on semigroups

Ahmed Jafar, Omar Ajebbar, Elhoucien Elqorachi

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\…