DLMF:17.2.E12 (Q5302)

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DLMF:17.2.E12
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    test
    ( a ⁢ q - n ; q ) n ( b ⁢ q - n ; q ) n = ( q / a ; q ) n ( q / b ; q ) n ⁢ ( a b ) n . q-Pochhammer-symbol 𝑎 superscript 𝑞 𝑛 𝑞 𝑛 q-Pochhammer-symbol 𝑏 superscript 𝑞 𝑛 𝑞 𝑛 q-Pochhammer-symbol 𝑞 𝑎 𝑞 𝑛 q-Pochhammer-symbol 𝑞 𝑏 𝑞 𝑛 superscript 𝑎 𝑏 𝑛 {\displaystyle{\displaystyle\frac{\left(aq^{-n};q\right)_{n}}{\left(bq^{-n};q% \right)_{n}}=\frac{\left(q/a;q\right)_{n}}{\left(q/b;q\right)_{n}}\left(\frac{% a}{b}\right)^{n}.}}
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    DLMF:17.2.E12
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