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A functional equation originating from quadratic forms
Authors:Jae-Hyeong Bae
Institution:a Department of Mathematics and Applied Mathematics, Kyung Hee University, 449-701 Yongin, Republic of Korea
b National Institute for Mathematical Sciences, 385-16 Doryong, Yuseong-Gu, 305-340 Daejeon, Republic of Korea
Abstract:In this paper, we obtain the general solution and the stability of the 2-variable quadratic functional equation
f(x+y,z+w)+f(xy,zw)=2f(x,z)+2f(y,w).
Keywords:Solution  Stability  2-Variable quadratic functional equation
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