DLMF:17.6.E20 (Q5387)

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Language	Label	Description	Also known as
English	DLMF:17.6.E20	No description defined

Statements

Defining formula

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

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DLMF:17.6.E20

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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.m2asdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1sdec

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Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1mdec

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