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DLMF:17.2.E6 - MaRDI portal

DLMF:17.2.E6 (Q5993)

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DLMF:17.2.E6
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    Statements

    DLMF defining formula
    ( a 1 , a 2 , … , a r ; q ) ∞ = ∏ j = 1 r ( a j ; q ) ∞ . q-multiple-Pochhammer subscript 𝑎 1 subscript 𝑎 2 … subscript 𝑎 𝑟 𝑞 superscript subscript product 𝑗 1 𝑟 q-Pochhammer-symbol subscript 𝑎 𝑗 𝑞 {\displaystyle{\displaystyle\left(a_{1},a_{2},\dots,a_{r};q\right)_{\infty}=% \prod_{j=1}^{r}\left(a_{j};q\right)_{\infty}.}}
    0 references
    Symbols used
    Q11269
    DLMF 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.m2aedec
    0 references
    Q11684
    DLMF 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.m6aadec
    0 references
    complex base
    DLMF defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1edec
    0 references
    nonnegative integer
    DLMF defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C17.S1.XMD2.m1cdec
    0 references
    nonnegative integer
    DLMF defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C17.S1.XMD5.m1adec
    0 references

    Identifiers

     
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