DLMF:17.2.E10 (Q5300)

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DLMF:17.2.E10
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    Statements

    Defining formula
    ( a ; q ) n ( b ; q ) n = ( q 1 - n / a ; q ) n ( q 1 - n / b ; q ) n ⁢ ( a b ) n , q-Pochhammer-symbol 𝑎 𝑞 𝑛 q-Pochhammer-symbol 𝑏 𝑞 𝑛 q-Pochhammer-symbol superscript 𝑞 1 𝑛 𝑎 𝑞 𝑛 q-Pochhammer-symbol superscript 𝑞 1 𝑛 𝑏 𝑞 𝑛 superscript 𝑎 𝑏 𝑛 {\displaystyle{\displaystyle\frac{\left(a;q\right)_{n}}{\left(b;q\right)_{n}}=% \frac{\left(q^{1-n}/a;q\right)_{n}}{\left(q^{1-n}/b;q\right)_{n}}\left(\frac{a% }{b}\right)^{n},}}
    0 references
    DLMF id
    DLMF:17.2.E10
    0 references
    Symbols used
    Q11298
    Defining formula
    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    xml-id
    C17.S2.SS1.p1.m2aidec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1idec
    0 references
     
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