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The complete solution of Hosszu’s functional equation over a field. (English) Zbl 0289.39004

MSC:
39B05 General theory of functional equations and inequalities
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References:
[1] Artin, E.,Review of Bourbaki’s Algèbre, Bull. Amer. Math. Soc.59, 474–479 (1953).
[2] Blanuša, D.,The Functional Equation f(x + y xy) + f(xy) = f(x) + f(y), Aequationes Math.5, 63–67 (1970). · Zbl 0203.46202
[3] Daróczy, Z.,On the General Solution of the Functional Equation f(x + y xy) + f(xy) = f(x) + f(y), Aequationes Math.6, 130–132 (1971). · Zbl 0222.39003
[4] Davison, T. M. K.,On the Functional Equation f(m + n mn) + f(mn) = f(m) + f(n), Aequationes Math.10, 206–211 (1974). · Zbl 0286.39011
[5] Šwiatak, H.,A Proof of the Equivalence of the Equation f(x + y xy) + f(xy) = f(x) + f(y) and Jensen’s Functional Equation, Aequationes Math.6, 24–29 (1971). · Zbl 0214.39102
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