DLMF:17.6.E21 (Q5388)

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Language	Label	Description	Also known as
English	DLMF:17.6.E21	No description defined

Statements

Defining formula

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

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DLMF:17.6.E21

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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.m2atdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1tdec

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Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1ndec

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Sitelinks

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