Daróczy, Zoltán On a functional equation of Hosszú type. (English) Zbl 0929.39005 Math. Pannonica 10, No. 1, 77-82 (1999). 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 \(f:\mathbb R\to \mathbb R\). Cited in 3 Documents MSC: 39B22 Functional equations for real functions Keywords:functional equations; Hosszú equation; additive functions PDFBibTeX XMLCite \textit{Z. Daróczy}, Math. Pannonica 10, No. 1, 77--82 (1999; Zbl 0929.39005) Full Text: EuDML