What is the meaning of Homogeneous_function?

homogeneous polynomial

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.

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

Source: wiktionary.org