On the functional equation f(m+n-mn)+f(mn)=f(m)+f(n)

DOI10.1007/BF01832858zbMath0286.39011OpenAlexW2007042225MaRDI QIDQ1846051

Thomas M. K. Davison

Publication date: 1974

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136415

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) General theory of functional equations and inequalities (39B05)

Related Items (4)

Hosszu's functional equation over rings generated by their units ⋮ Characterizations of derivations ⋮ The complete solution of Hosszu's functional equation over a field ⋮ Special cases of the generalized Hosszú equation on interval

Cites Work

• The functional equation \(f(x + y - xy) + f(xy) = f(x) + f(y)\)
• A proof of the equivalence of the equation \(f(x+y-xy)+f(xy)=f(x)+f(y)\) and Jensen's functional equation
• On the general solution of the functional equation \(f(x + y - xy) + f(xy) = f(x) + f(y)\)
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