Abstract
Let S be a semigroup. We describe the solutions f, g: S→ C of the functional equation f(xy)=f(x)g(y)+g(x)f(y)-g(x)g(y),x,y∈S,in terms of multiplicative functions on S and solutions of the particular case φ(xy)=φ(x)χ(y)+φ(y)χ(x),x,y∈S,of the sine addition law in which χ: S→ C is a non-zero multiplicative function and φ: S→ C.
Originalsprog | Engelsk |
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Tidsskrift | Aequationes Mathematicae |
Vol/bind | 96 |
Sider (fra-til) | 115-127 |
ISSN | 0001-9054 |
DOI | |
Status | Udgivet - feb. 2022 |