Definition:Gaussian Binomial Coefficient

Definition
Let $q \in \R_{\ne 1}$, $r \in \R$, $m \in \Z_{\ge 0}$.

The Gaussian binomial coefficient is an extension of the more conventional binomial coefficient as follows:

Also known as
Some sources refer to this concept as a $q$-nomial coefficient.

Some use $q$-binomial coefficient.

However, 's view is that by referring to a construct by the specific names of the variables in which it is stated limits its flexibility of expression.