3 citations · 10 across the 17 of their papers we have counts for
17 papers
Kannappan-Wilson and Van Vleck-Wilson functional equations on semigroups
Youssef Aserrar, Elhoucien Elqorachi
Let be a semigroup, the center of and is an involutive automorphism. Our main results is that we describe the solutions of the Kannappan-Wilson fu…
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…
Cosine and Sine addition and subtraction law with an automorphism
Youssef Aserrar, Elhoucien Elqorachi
Let be a semigroup. Our main results is that we describe the complex-valued solutions of the following functional equations \[g(xσ(y)) = g(x)g(y)+f(x)f(y),\ x,y\in S,\] \[f(xσ(…