E. Elhoucien

activity

20152020

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5 papers · 1 filter

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.CA2016

Integral Van Vleck's and Kannappan's functional equations on semigroups

Elqorachi Elhoucien

In this paper we study the solutions of the integral Van Vleck's functional equation for the sine $\int_{S} f (xτ (y) t) d μ (t) - \int_{S} f (x y t) d μ (t) = 2 f (x) f (y), x, y \in S$ and the inte…

math.CA2016

A class of functional equations on monoids

Bouikhalene Belaid, Elqorachi Elhoucien

In \cite{05} B. Ebanks and H. Stetkær obtained the solutions of the functional equation $f (x y) - f (σ (y) x) = g (x) h (y)$ where $σ$ is an involutive automorphism and $f, g, h$ are complex-va…

math.CA2016

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

Bouikhalene Belaid, Elqorachi Elhoucien

Let $G$ be a locally compact group, and let $K$ be a compact subgroup of $G$ . Let $μ : G ⟶ C \ {0}$ be a character of $G$ . In this paper, we deal with…

math.CA2015

Solutions and stability of a generalization of Wilson's equation

Bouikhalene Belaid, Elqorachi Elhoucien

In this paper we study the solutions and stability of the generalized Wilson's functional equation $\int_{G} f (x t y) d μ (t) + \int_{G} f (x t σ (y)) d μ (t) = 2 f (x) g (y), x, y \in G$ , where $G$ is…