DLMF:26.9.E7 (Q7880)

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Language	Label	Description	Also known as
English	DLMF:26.9.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{m,n=0}^{\infty}p_{k}\left(\leq m,n\right)x^{% k}q^{n}=1+\sum_{k=1}^{\infty}\genfrac{[}{]}{0.0pt}{}{m+k}{k}_{q}x^{k}=\prod_{j% =0}^{m}\frac{1}{1-x\,q^{j}}.}}

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DLMF:26.9.E7

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

Defining formula

{\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar% {q}}}}

C17.S2.E27.m2acdec

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Defining formula

{\displaystyle{\displaystyle p_{\NVar{k}}\left(\leq\NVar{m},\NVar{n}\right)}}

C26.S9.SS1.m1aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C26.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle j}}

C26.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle k}}

C26.S1.XMD4.m1ddec

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