DLMF:17.2.E3 (Q5293)

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DLMF:17.2.E3
No description defined

    Statements

    Defining formula
    ( a ; q ) ν = ∏ j = 0 ∞ ( 1 - a ⁢ q j 1 - a ⁢ q ν + j ) , q-Pochhammer-symbol 𝑎 𝑞 𝜈 superscript subscript product 𝑗 0 1 𝑎 superscript 𝑞 𝑗 1 𝑎 superscript 𝑞 𝜈 𝑗 {\displaystyle{\displaystyle\left(a;q\right)_{\nu}=\prod_{j=0}^{\infty}\left(% \frac{1-aq^{j}}{1-aq^{\nu+j}}\right),}}
    0 references
    DLMF id
    DLMF:17.2.E3
    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.m2abdec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1bdec
    0 references
    Q11712
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C17.S1.XMD2.m1dec
    0 references
     
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