DLMF:17.6.E19 (Q5386)

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Language	Label	Description	Also known as
English	DLMF:17.6.E19	No description defined

Statements

Defining formula

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

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DLMF:17.6.E19

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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.m2ardec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1rdec

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