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On the correctness of the determination of trigonometric functions by the system of functional equations

The article shows that the system of the functional equations $S(x+y)=S(x)C(y)+S(y)C(x),\,C(x+y)=C(x)C(y)-S(y)S(x)$ denes a broader class of the functions than the trigonometric equations. The conditions, which must be added to this system to obtain the unique solution have been developed $S(x)=\sin...

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Main Authors: Е. V. Velichko, I. G. Tkachenko
Formato: Artigo
Idioma:Inglês
Publicado em: Vasyl Stefanyk Precarpathian National University 2013-01-01
Colecção:Karpatsʹkì Matematičnì Publìkacìï
Acesso em linha:http://journals.pu.if.ua/index.php/cmp/article/view/47
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