DLMF:17.2.E33 (Q5323): Difference between revisions

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Latest revision as of 14:49, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:17.2.E33	No description defined

Statements

Defining formula

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

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DLMF:17.2.E33

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Defining formula

{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2aabdec

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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.m2afdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1afdec

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Defining formula

{\displaystyle{\displaystyle m}}

C17.S1.XMD3.m1fdec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1acdec

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Sitelinks

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