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Miklós Schweitzer 1954- Problem 4

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September 29, 2015
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Problem Statement

4. Find all functions of two variables defined over the entire plane that satisfy the relations f(x+u,y+u)=f(x,y)+uf(x+u,y+u)=f(x,y)+u and f(xv,yv)=f(x,y)vf(xv,yv)= f(x,y) v for any real numbers x,y,u,vx,y,u,v. (R.12)
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