On the general solution of the functional equation \(f(x + y - xy) + f(xy) = f(x) + f(y)\)

DOI10.1007/BF01819743zbMath0222.39003OpenAlexW4239509545MaRDI QIDQ2547674

Zoltán Daróczy

Publication date: 1971

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

Full work available at URL: https://eudml.org/doc/136180

Mathematics Subject Classification ID

General theory of functional equations and inequalities (39B05)

Related Items (12)

On the alienation of the exponential Cauchy equation and the Hosszú equation ⋮ The general solution of Abel-type functional equations ⋮ On the stability of Hosszú's functional equation ⋮ Alien Functional Equations: A Selective Survey of Results ⋮ Ternary quadratic Pompeiu on ternary Banach algebras ⋮ Hosszu's functional equation over rings generated by their units ⋮ Gamma function inequalities ⋮ Characterizations of derivations ⋮ On the functional equation f(m+n-mn)+f(mn)=f(m)+f(n) ⋮ The complete solution of Hosszu's functional equation over a field ⋮ Applications of extensions of additive functions ⋮ Special cases of the generalized Hosszú equation on interval

Cites Work

• Remarks on the functional equation \(f(x+y-xy) +f(xy) = f(x)+f(y)\)
• On the general solution of a functional equation in the domain of distributions
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