A Kannappan-cosine functional equation on semigroups
We determine the complex-valued solutions of the Kannappan cosine functional law $g(xyz_{0})=g(x)g(y)-f(x)f(y)$, $x,y\in S$, where $S$ is a semigroup and $z_{0}$ is a fixed element in $S.$
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| creator | Jafar, Ahmed Ajebbar, Omar Elqorachi, Elhoucien |
| description | We determine the complex-valued solutions of the Kannappan cosine functional
law $g(xyz_{0})=g(x)g(y)-f(x)f(y)$, $x,y\in S$, where $S$ is a semigroup and
$z_{0}$ is a fixed element in $S.$ |
| doi_str_mv | 10.48550/arxiv.2305.02924 |
| format | Article |
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| subjects | Mathematics - Functional Analysis Mathematics - General Mathematics |
| title | A Kannappan-cosine functional equation on semigroups |
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