generate polynomial features given a vector X and degree

[aliko]

Hi!

Is there a function to generate polynomial features given a vector X and 
degree.
For example I have 3-element vector X and for given degree=3 I want to 
get a vector like

[X(1), X(2), x(3), X(1)^2, X(2)^2, X(3)^2, X(1)*X(2), X(1)*X(3), 
X(2)*X(3), X(1)^3, X(2)^3, X(3)^3, X(1)^2*X(2), X(1)^2*X(3), ... , 
X(1)*X(2)*X(3)]

For any given vector X of any length and for any given degree?
If there is no such function could anyone suggest an algorithm to build 
such a vector?

Thanks in advance!