DLMF:17.7.E4 (Q5400)

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Language	Label	Description	Also known as
English	DLMF:17.7.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({a,b,q^{-n}\atop c,abq^{1-n}% /c};q,q\right)=\frac{\left(c/a,c/b;q\right)_{n}}{\left(c,c/(ab);q\right)_{n}}.}}

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DLMF:17.7.E4

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basic hypergeometric (or $$q$$ -hypergeometric) function

Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}

C17.S4.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}

C17.S2.SS1.p1.m6acdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1cdec

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Sitelinks

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