DLMF:17.7.E13 (Q5409)

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Language	Label	Description	Also known as
English	DLMF:17.7.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{4}\phi_{3}}\left({a,aq,b^{2}q^{2n-2},q^{-2n}% \atop b,bq,a^{2}};q^{2},q^{2}\right)=\frac{a^{n}\left(-q,b/a;q\right)_{n}(1-bq% ^{n-1})}{\left(-a,b;q\right)_{n}(1-bq^{2n-1})}.}}

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DLMF:17.7.E13

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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.m2aldec

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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.m6aldec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1ldec

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Sitelinks

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