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On the functional equation\(\sum\limits_{i = 1}^n {\frac{{[f_i (x_1 ,...,x_n ) - f_i (y_1 ,...,y_n )]^2 }}{{f_n (x_1 ,...,x_n )f_n (y_1 ,...,y_n )}}} = \sum\limits_{i = 1}^n {\frac{{(x_i - y_i )^2 }}{{x_n y_n }}.}\)

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  1. Walter Benz
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Benz, W. On the functional equation\(\sum\limits_{i = 1}^n {\frac{{[f_i (x_1 ,...,x_n ) - f_i (y_1 ,...,y_n )]^2 }}{{f_n (x_1 ,...,x_n )f_n (y_1 ,...,y_n )}}} = \sum\limits_{i = 1}^n {\frac{{(x_i - y_i )^2 }}{{x_n y_n }}.}\) . Aeq. Math. 19, 313–314 (1979). https://doi.org/10.1007/BF02189882

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