Publication Date:
1995-01-01
Description:
Gauss established a theory on the functional equation (Gauss' functional equation)f(a+b2,ab)=f(a,b) (a,b〉0), wheref:R+×R+→Ris an unknown function of the above equation.In this paper we treat the functional equationf(a+b2,2aba+b)=f(a,b) (a,b〉0)wheref:R+×R+→Ris an unknown function of this equation.The purpose of this paper is to prove new results on this functional equation by following the theory of Gauss' functional equation.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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