2 citations · 2 across the 8 of their papers we have counts for
8 papers
A Kannappan-sine subtraction law on semigroups
Ahmed Jafar, Omar Ajebbar, Elhoucien Elqorachi
Let be a semigroup, a fixed element in and an involutive automorphism. We determine the complex-valued solutions of Kannappan-sine subtraction…
A generalization of the Cosine-Sine functional equation on a semigroup
Omar Ajebbar, Elhoucien Elqorach
Given a semigroup equipped with an involutive automorphism , we determine the complex-valued solutions of the functional equation \begin{equation*}f(xσ(y))=f(x)g(y)+…
Cosine-sine functional equation on semigroups
Omar Ajebbar, Elhoucien Elqorachi
Let be a semigroup. We determine the complex-valued solutions 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…
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 , , where is a semigroup and is a fixed element…
A system of cosine-sine functional equations on a semigroup generated by its squares
Omar Ajebbar, Elhoucien Elqorachi
Given a semigroup generated by its squares, we determine the complex-valued solutions of the following system of cosine-sine functional equations \begin{align*} f(xy)=f(x)g_{1}…
Variants of Wilson's functional equation on semigroups
Omar Ajebbar, Elhoucien Elqorachi
Given a semigroup generated by its squares equipped with an involutive automorphism and a multiplicative function such that for all …