Let k be any real number , For a given k and t, x, y > 0 we have the following equation :

**F( t*x, t*y ) = t^k * F( x, y )**

We can substitute t = 1/x

**F ( x, y ) = x^k * F(1 , y/x )**

We can define g(z) = F( 1 , z)

then finally :

**F ( x, y ) = x ^ k * g( y/x )**

An example could be : F( x, y ) = x^2 + 4 * y^2 + 3 x*y

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