Formula:KLS:01.08:21

<< Formula:KLS:01.08:20

formula in The q-shifted factorial

Formula:KLS:01.08:22 >>

${\displaystyle{\displaystyle{\displaystyle\left(aq^{-n};q\right)_{k}=\frac{\left(a^{-1}q;q\right)_{n}}{\left(a^{-1}q^{1-k};q\right)_{n}}\left(a;q\right)_{k}q^{-nk}}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle a\neq 0}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1

Bibliography

Equation in Section 1.8 of KLS.

URL links

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<< Formula:KLS:01.08:20

formula in The q-shifted factorial

Formula:KLS:01.08:22 >>