[[Binomial expansion]]
# Gaußian binomial coëfficient

The **Guaßian binomial coëfficient** is a [[q-analog]] of the [[Binomial expansion|binomial coëfficient]],
given by #m/def/num 
$$
\begin{align*}
{n \choose d}_{q} = \prod_{i=0}^{d-1} \frac{q^{n-i}-1}{q^{i+1} - 1}
\end{align*}
$$


> [!code] Mathematica
> The Laguerre polynomial ${n \choose d}_{q}$ may be generated in [[Wolfram Mathematica]] with `QBinomial[n,d,q]`.


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