DLMF:17.8.E2

MaRDI QIDQ6118

• Label: DLMF:17.8.E2

Digital Library of Mathematical Functions ID 17.8.E2

${\displaystyle{\displaystyle{{}_{1}\psi_{1}}\left({a\atop b};q,z\right)=\frac{\left(q,b/a,az,q/(az);q\right)_{\infty}}{\left(b,q/a,z,b/(az);q\right)_{\infty}}.}}$

Symbols List

• ${\displaystyle{\displaystyle{{}_{\NVar{r}}\psi_{\NVar{s}}}\left(\NVar{a_{1},\dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$: bilateral basic hypergeometric (or bilateral $$q$$ -hypergeometric) function
• ${\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}\right)_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle q}}$: complex base
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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