DLMF:17.2.E5 (Q5295)

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DLMF:17.2.E5
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    Statements

    Defining formula
    ( a 1 , a 2 , … , a r ; q ) n = ∏ j = 1 r ( a j ; q ) n , q-multiple-Pochhammer subscript 𝑎 1 subscript 𝑎 2 … subscript 𝑎 𝑟 𝑞 𝑛 superscript subscript product 𝑗 1 𝑟 q-Pochhammer-symbol subscript 𝑎 𝑗 𝑞 𝑛 {\displaystyle{\displaystyle\left(a_{1},a_{2},\dots,a_{r};q\right)_{n}=\prod_{% j=1}^{r}\left(a_{j};q\right)_{n},}}
    0 references
    DLMF id
    DLMF:17.2.E5
    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.m2addec
    0 references
    Q11713
    Defining formula
    ( a 1 , a 2 , … , a r ; q ) n q-multiple-Pochhammer subscript 𝑎 1 subscript 𝑎 2 … subscript 𝑎 𝑟 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}
    xml-id
    C17.S2.SS1.p1.m6adec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1ddec
    0 references
    Q11712
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C17.S1.XMD2.m1bdec
    0 references
    Q11711
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C17.S1.XMD4.m1bdec
    0 references
    Q11714
    Defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C17.S1.XMD5.m1dec
    0 references
     
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