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On a functional equation of Hosszú type. (English) Zbl 0929.39005

Summary: The Hosszú type functional equation \[ f(x+y-x\circ y)+f(x\circ y)=f(x)+f(y) \] is solved, where \(x\circ y:=\ln(e^x+e^y)\) \((x,y\in \mathbb R)\) and \(f:\mathbb R\to \mathbb R\).

MSC:

39B22 Functional equations for real functions
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