Ajebbar Omar

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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\…