DLMF:26.10.E3 (Q7886): Difference between revisions

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Latest revision as of 13:59, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:26.10.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(1-x)\sum_{m,n=0}^{\infty}p_{m}\left(\leq k,% \mathcal{D},n\right)x^{m}q^{n}=\sum_{m=0}^{k}\genfrac{[}{]}{0.0pt}{}{k}{m}_{q}% q^{m(m+1)/2}x^{m}=\prod_{j=1}^{k}(1+x\,q^{j}),}}

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DLMF:26.10.E3

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{\displaystyle{\displaystyle|x|<1}}

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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.m2adec

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Defining formula

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

C26.S9.SS1.m1adec

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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.m1bdec

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Defining formula

{\displaystyle{\displaystyle m}}

C26.S1.XMD5.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C26.S1.XMD6.m1bdec

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Defining formula

{\displaystyle{\displaystyle q}}

C26.S9.XMD1.m1adec

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Sitelinks

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