DLMF:17.2.E8 (Q5298)

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DLMF:17.2.E8
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    Statements

    Defining formula
    ( a ; q - 1 ) n ( b ; q - 1 ) n = ( a - 1 ; q ) n ( b - 1 ; q ) n ⁢ ( a b ) n , q-Pochhammer-symbol 𝑎 superscript 𝑞 1 𝑛 q-Pochhammer-symbol 𝑏 superscript 𝑞 1 𝑛 q-Pochhammer-symbol superscript 𝑎 1 𝑞 𝑛 q-Pochhammer-symbol superscript 𝑏 1 𝑞 𝑛 superscript 𝑎 𝑏 𝑛 {\displaystyle{\displaystyle\frac{\left(a;q^{-1}\right)_{n}}{\left(b;q^{-1}% \right)_{n}}=\frac{\left(a^{-1};q\right)_{n}}{\left(b^{-1};q\right)_{n}}\left(% \frac{a}{b}\right)^{n},}}
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    DLMF id
    DLMF:17.2.E8
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