DLMF:17.2.E18 (Q5308)

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DLMF:17.2.E18
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    Statements

    Defining formula
    ( a ⁢ q k ; q ) n - k = ( a ; q ) n ( a ; q ) k . q-Pochhammer-symbol 𝑎 superscript 𝑞 𝑘 𝑞 𝑛 𝑘 q-Pochhammer-symbol 𝑎 𝑞 𝑛 q-Pochhammer-symbol 𝑎 𝑞 𝑘 {\displaystyle{\displaystyle\left(aq^{k};q\right)_{n-k}=\frac{\left(a;q\right)% _{n}}{\left(a;q\right)_{k}}.}}
    0 references
    DLMF id
    DLMF:17.2.E18
    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.m2aqdec
    0 references
    Q11715
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C17.S1.XMD1.m1edec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1qdec
    0 references
    Q11711
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C17.S1.XMD4.m1ndec
    0 references
     
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