DLMF:17.7.E3 (Q5399)

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Language	Label	Description	Also known as
English	DLMF:17.7.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{2}\phi_{2}}\left({\ifrac{c^{2}}{b^{2}},b^{2}% \atop c,cq};q^{2},q\right)=\frac{1}{2}\frac{\left(b^{2},q;q^{2}\right)_{\infty% }}{\left(c,cq;q^{2}\right)_{\infty}}{\left(\frac{\left(c/b;q\right)_{\infty}}{% \left(b;q\right)_{\infty}}+\frac{\left(-c/b;q\right)_{\infty}}{\left(-b;q% \right)_{\infty}}\right)}.}}

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DLMF:17.7.E3

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Defining formula

{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2aadec

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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.m2abdec

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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.m1bdec

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