English

A Kannappan-sine addition law on semigroups

General Mathematics 2023-04-28 v1

Abstract

Let SS be a semigroup and z0z_{0} a fixed element in S.S. We determine the complex-valued solutions of the following Kannappan-sine addition law f(xyz0)=f(x)g(y)+f(y)g(x),x,yS.f(xyz_{0})=f(x)g(y)+f(y)g(x),x,y\in S.

Keywords

Cite

@article{arxiv.2304.14146,
  title  = {A Kannappan-sine addition law on semigroups},
  author = {Ahmed Jafar and Omar Ajebbar and Elhoucien Elqorachi},
  journal= {arXiv preprint arXiv:2304.14146},
  year   = {2023}
}