在数学中，齐次函数是一个有倍数性质的函数：如果变数乘以一个系数，则新函数会是原函数再乘上系数的某次方倍。

假设是域内的两个矢量空间之间的函数。

我们说是“次齐次函数”，如果对于所有非零的和，都有：

即是，在欧几里得空间，， 其中为指数函数。

In mathematics, a homogeneous function is a function which satisfies the condition , for some integer .

It can also be described as a function with multiplicative scaling behaviour: if the argument is multiplied by a factor, then the result is multiplied by some power of this factor. More precisely, if ƒ : V → W is a function between two vector spaces over a field F, and k is an integer, then ƒ is said to be homogeneous of degree k if