DLMF:17.9.E2 (Q5428)

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Language	Label	Description	Also known as
English	DLMF:17.9.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({q^{-n},b\atop c};q,z\right)% =\frac{\left(c/b;q\right)_{n}}{\left(c;q\right)_{n}}b^{n}{{}_{3}\phi_{1}}\left% ({q^{-n},b,q/z\atop bq^{1-n}/c};q,z/c\right),}}

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DLMF:17.9.E2

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1adec

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Sitelinks

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