Formula:5989

Digital Library of Mathematical Functions ID 17.2.E2

${\displaystyle{\displaystyle\left(a;q\right)_{-n}=\frac{1}{\left(aq^{-n};q\right)_{n}}=\frac{(-q/a)^{n}q^{\genfrac{(}{)}{0.0pt}{}{n}{2}}}{\left(q/a;q\right)_{n}}.}}$

Symbols List

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

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