homogeneous function

homogeneous function (plural homogeneous functions)

1. (mathematics) homogeneous polynomial
2. (mathematics) the ratio of two homogeneous polynomials, such that the sum of the exponents in a term of the numerator is equal to the sum of the exponents in a term of the denominator.

   ${\displaystyle {\frac {x^{3}+xy^{2}+x^{2}y+y^{3}}{z^{3}}}}$

3. (mathematics) a function f(x) which has the property that for any c, ${\displaystyle f(cx)=cf(x)}$.