DLMF:17.6.E13 (Q5380)

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Language	Label	Description	Also known as
English	DLMF:17.6.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left(a,b;c;q,q\right)+\frac{\left% (q/c,a,b;q\right)_{\infty}}{\left(c/q,aq/c,bq/c;q\right)_{\infty}}{{}_{2}\phi_% {1}}\left(aq/c,bq/c;q^{2}/c;q,q\right)=\frac{\left(q/c,abq/c;q\right)_{\infty}% }{\left(aq/c,bq/c;q\right)_{\infty}},}}

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DLMF:17.6.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.m6aidec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1ldec

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