DLMF:17.5.E4 (Q5366)

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Language	Label	Description	Also known as
English	DLMF:17.5.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{1}\phi_{0}}\left(0;-;q,z\right)=\sum_{n=0}^{% \infty}\frac{z^{n}}{\left(q;q\right)_{n}}=\frac{1}{\left(z;q\right)_{\infty}},}}

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DLMF:17.5.E4

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{\displaystyle{\displaystyle|z|<1}}

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Defining formula

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

C17.S2.SS1.p1.m2acdec

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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.m2acdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1cdec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1bdec

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Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1cdec

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Sitelinks

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