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A functional equation of Davison and its generalization

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We consider the functional equation f(xy) + f(x + y) = f(xy + x) + f(y) and its pexiderized version. The general solutions on \( {\Bbb R} \)and on \( {\Bbb R_+} \) are given.

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Received: December 18, 1998; revised version: August 6, 1999.

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Girgensohn, R., Lajkó, K. A functional equation of Davison and its generalization. Aequ. math. 60, 219–224 (2000).

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