DLMF:17.9.E7 (Q5433)

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Language	Label	Description	Also known as
English	DLMF:17.9.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({a,b,c\atop d,e};q,de/(abc)% \right)=\frac{\left(b,de/(ab),de/(bc);q\right)_{\infty}}{\left(d,e,de/(abc);q% \right)_{\infty}}\*{{}_{3}\phi_{2}}\left({d/b,e/b,de/(abc)\atop de/(ab),de/(bc% )};q,b\right),}}

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DLMF:17.9.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.m6abdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1fdec

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