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math.FA2023
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…
math.FA2023
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(…