Q-Binomial coefficient

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The $q$-Binomial coefficient ${n \brack k}_q$ is $${n \brack k}_q = \dfrac{(q;q)_n}{(q;q)_k(q;q)_{n-k}},$$ where $(q;q)_{\xi}$ denotes the q-Pochhammer symbol.

Properties

q-Pochhammer as sum of q-binomial coefficients

References