Formula:6128

Digital Library of Mathematical Functions ID 17.9.E5

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \qgenhyperphi{2}{1}@@{q^{-n},b}{c}{q}{z}=\frac{\qPochhammer{c/b}{q}{n}}{\qPochhammer{c}{q}{n}}\qgenhyperphi{3}{2}@@{q^{-n},b,bzq^{-n}/c}{bq^{1-n}/c,0}{q}{q}.}

Symbols List

• ${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},\dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$: basic hypergeometric (or $$q$$ -hypergeometric) function
• ${\displaystyle{\displaystyle q}}$: complex base
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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