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arxiv: 1810.10295 · v1 · pith:2WANBHZUnew · submitted 2018-10-24 · 🧮 math.AC · math.CA

The stability of a Cosine-Sine Functional Equation on abelian groups

classification 🧮 math.AC math.CA
keywords abelianequationfunctionalstabilitycosine-sineestablishgroupgroups
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In this paper we establish the stability of the functional equation $$f(x-y)=f(x)g(y)+g(x)f(y)+h(x)h(y)),\;\; x,y \in G, $$where $G$ is an abelian group.

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