Formula:6003

Digital Library of Mathematical Functions ID 17.2.E16

${\displaystyle{\displaystyle\left(aq^{-n};q\right)_{n-k}=\frac{\left(q/a;q\right)_{n}}{\left(q/a;q\right)_{k}}\left(-\frac{a}{q}\right)^{n-k}q^{\genfrac{(}{)}{0.0pt}{}{k}{2}-\genfrac{(}{)}{0.0pt}{}{n}{2}},}}$

Symbols List

• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle q}}$: complex base
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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