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The complete solution of Hosszu's functional equation over a field

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Publication:1847006
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DOI10.1007/BF01834926zbMath0289.39004MaRDI QIDQ1847006

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/136467


Mathematics Subject Classification ID

General theory of functional equations and inequalities (39B05)


Related Items

On Hyers-Ulam stability of Hosszú's functional equation, On the stability of Hosszú's functional equation, Hosszu's functional equation over rings generated by their units, Gamma function inequalities, Characterizations of derivations, Special cases of the generalized Hosszú equation on interval



Cites Work

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