E. Elhoucien

activity

20142025

most citedOn the integral functional equations: On the integral d'Alembert's and Wilson's functional equations

1 citations · 5 across the 13 of their papers we have counts for

collaborators

15 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.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\…

math.GM2020

A variant of d'Alembert functional equation on monoids

Chahbi Abdellatif, Elqorachi Elhoucien

In this paper, we determine the complex-valued solutions of the functional equation $f (x σ (y)) + f (τ (y) x) = 2 f (x) f (y)$ for all $x, y \in M$ , where $M$ is a monoid, $σ$ : $M\longrightar…

math.CA2019

A note on Levi-Civita functional equation

Belfakih Keltouma, Elqorachi Elhoucien

In this paper we find the solutions of the functional equation $f (x y) = g (x) h (y) + j = 1 \sum n g_{j} (x) h_{j} (y), x, y \in M,$ where $M$ is a monoid, $n \geq 2$ , and $g_{j}$ (for $j=1,…

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.