DLMF:17.2.E27 (Q5317)

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Language	Label	Description	Also known as
English	DLMF:17.2.E27	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{n}{m}_{q}=\frac{\left(q;q% \right)_{n}}{\left(q;q\right)_{m}\left(q;q\right)_{n-m}}\\ =\frac{\left(q^{-n};q\right)_{m}(-1)^{m}q^{nm-\genfrac{(}{)}{0.0pt}{}{m}{2}}}{% \left(q;q\right)_{m}},}}

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DLMF:17.2.E27

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Symbols defined

$$q$$ -binomial coefficient (or Gaussian polynomial)

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Defining formula

{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

C1.S2.SS1.m1ahdec

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