DLMF:17.2.E15 (Q5305)

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DLMF:17.2.E15
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    Statements

    Defining formula
    ( a ⁢ q - n ; q ) k = ( a ; q ) k ⁢ ( q / a ; q ) n ( q 1 - k / a ; q ) n ⁢ q - n ⁢ k , q-Pochhammer-symbol 𝑎 superscript 𝑞 𝑛 𝑞 𝑘 q-Pochhammer-symbol 𝑎 𝑞 𝑘 q-Pochhammer-symbol 𝑞 𝑎 𝑞 𝑛 q-Pochhammer-symbol superscript 𝑞 1 𝑘 𝑎 𝑞 𝑛 superscript 𝑞 𝑛 𝑘 {\displaystyle{\displaystyle\left(aq^{-n};q\right)_{k}=\frac{\left(a;q\right)_% {k}\left(q/a;q\right)_{n}}{\left(q^{1-k}/a;q\right)_{n}}q^{-nk},}}
    0 references
    DLMF id
    DLMF:17.2.E15
    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.m2andec
    0 references
    Q11715
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C17.S1.XMD1.m1bdec
    0 references
     
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