Ajebbar Omar

collaborators

3 papers

math.GM2025

Integral Kannappan-Sine subtraction and addition law on semigroups

Ajebbar Omar, Elqorachi Elhoucien, Jafar Ahmed

Let $S$ be a semigroup, $μ$ a discrete measure on $S$ and $σ : S ⟶ S$ is an involutive automorphism. We determine the complex-valued solutions of the integral Kannappan…

math.AC2018

The stability of a Cosine-Sine Functional Equation on abelian groups

Ajebbar Omar, Elqorachi Elhoucien, Themistocles M. Rassias

In this paper we establish the stability of the functional equation $f (x - y) = f (x) g (y) + g (x) f (y) + h (x) h (y)), x, y \in G,$ where $G$ is an abelian group.

math.RA2018

Stability of the Cosine-Sine Functional Equation on amenable groups

Ajebbar Omar, Elqorachi Elhoucien

In this paper we establish the stability of the functional equation \begin{equation*}f(xy)=f(x)g(y)+g(x)f(y)+h(x)h(y),\;x,y\in G,\end{equation*} where $G$ is an amenable group.