4 papers · 1 filter
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)+…
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 …
A generalization of d'Alembert'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 …