DLMF:17.7.E7 (Q5403)

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Language	Label	Description	Also known as
English	DLMF:17.7.E7	No description defined

Statements

Defining formula

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

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DLMF:17.7.E7

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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.m2afdec

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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.m6afdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1fdec

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