Omar Ajebbar

activity

20192023

most citedVariants of Wilson's functional equation on semigroups

2 citations · 2 across the 8 of their papers we have counts for

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Showing 2023Show all

4 papers · 1 filter

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.GM2023

A generalization of the Cosine-Sine functional equation on a semigroup

Omar Ajebbar, Elhoucien Elqorach

Given a semigroup $S$ equipped with an involutive automorphism $σ$ , we determine the complex-valued solutions $f, g, h$ of the functional equation \begin{equation*}f(xσ(y))=f(x)g(y)+…

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…