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Quick functional equation

Source: Austrian-Polish 1978, Problem 1

July 5, 2015
functionalgebrafunctional equation

Problem Statement

Determine all functions f:(0;∞)→Rf:(0;\infty)\to \mathbb{R} that satisfy f(x+y)=f(x^2+y^2)  \forall x,y\in (0;\infty)
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