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A functional equation of Davison and its generalization

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Summary.

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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Authors and Affiliations

  1. Institute of Biomathematics and Biometry, GSF — National Research Center, Postfach 1129, D-85758 Neuherberg, Germany, e-mail: girgen@gsf.de, , , , , , DE

    R. Girgensohn

  2. Institute of Mathematics and Informatics, University of Debrecen, P.O. Box 12, H-4010 Debrecen, Hungary, e-mail: lajko@math.klte.hu, , , , , , HU

    K. Lajkó

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  1. R. Girgensohn
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  2. K. Lajkó
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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). https://doi.org/10.1007/s000100050148

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  • DOI: https://doi.org/10.1007/s000100050148

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