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math.AC2018
The stability of a Cosine-Sine Functional Equation on abelian groups
Ajebbar Omar, Elqorachi Elhoucien, Themistocles M. Rassias
In this paper we establish the stability of the functional equation where is an abelian group.
math.RA2018
Stability of the Cosine-Sine Functional Equation on amenable groups
Ajebbar Omar, Elqorachi Elhoucien
In this paper we establish the stability of the functional equation \begin{equation*}f(xy)=f(x)g(y)+g(x)f(y)+h(x)h(y),\;x,y\in G,\end{equation*} where is an amenable group.