DLMF:17.6.E18 (Q5385)

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Language	Label	Description	Also known as
English	DLMF:17.6.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({aq,b\atop c};q,z\right)-{{}% _{2}\phi_{1}}\left({a,b\atop c};q,z\right)=az\frac{1-b}{1-c}{{}_{2}\phi_{1}}% \left({aq,bq\atop cq};q,z\right),}}

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DLMF:17.6.E18

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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.m2aqdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1qdec

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Sitelinks

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