English

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

Commutative Algebra 2018-10-25 v1 Classical Analysis and ODEs

Abstract

In this paper we establish the stability of the functional equation f(xy)=f(x)g(y)+g(x)f(y)+h(x)h(y)),    x,yG,f(x-y)=f(x)g(y)+g(x)f(y)+h(x)h(y)),\;\; x,y \in G, where GG is an abelian group.

Keywords

Cite

@article{arxiv.1810.10295,
  title  = {The stability of a Cosine-Sine Functional Equation on abelian groups},
  author = {Ajebbar Omar and Elqorachi Elhoucien and Themistocles M. Rassias},
  journal= {arXiv preprint arXiv:1810.10295},
  year   = {2018}
}

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22pages