DLMF:17.2.E37 (Q5327)

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DLMF:17.2.E37
No description defined

    Statements

    Defining formula
    ∑ n = 0 ∞ ( a ; q ) n ( q ; q ) n ⁢ z n = ( a ⁢ z ; q ) ∞ ( z ; q ) ∞ , superscript subscript 𝑛 0 q-Pochhammer-symbol 𝑎 𝑞 𝑛 q-Pochhammer-symbol 𝑞 𝑞 𝑛 superscript 𝑧 𝑛 q-Pochhammer-symbol 𝑎 𝑧 𝑞 q-Pochhammer-symbol 𝑧 𝑞 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}\frac{\left(a;q\right)_{n}}{% \left(q;q\right)_{n}}z^{n}=\frac{\left(az;q\right)_{\infty}}{\left(z;q\right)_% {\infty}},}}
    0 references
    DLMF id
    DLMF:17.2.E37
    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.m2aaedec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1aidec
    0 references
    Q11711
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C17.S1.XMD4.m1agdec
    0 references
    Q11718
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C17.S1.XMD7.m1bdec
    0 references
     
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