DLMF:18.33.E16 (Q6026)

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DLMF:18.33.E16
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    Statements

    Defining formula
    w ⁢ ( z ) = | ( q ⁢ z ; q 2 ) ∞ / ( a ⁢ q ⁢ z ; q 2 ) ∞ | 2 , 𝑤 𝑧 q-Pochhammer-symbol 𝑞 𝑧 superscript 𝑞 2 q-Pochhammer-symbol 𝑎 𝑞 𝑧 superscript 𝑞 2 2 {\displaystyle{\displaystyle w(z)={\left|\left(qz;q^{2}\right)_{\infty}\Bigm{/% }\left(aqz;q^{2}\right)_{\infty}\right|^{2}},}}
    0 references
    DLMF id
    DLMF:18.33.E16
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    constraint
    a 2 ⁢ q 2 < 1 superscript 𝑎 2 superscript 𝑞 2 1 {\displaystyle{\displaystyle a^{2}q^{2}<1}}
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    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.m2aadec
    0 references
    Q11729
    Defining formula
    w ⁢ ( x ) 𝑤 𝑥 {\displaystyle{\displaystyle w(x)}}
    xml-id
    C18.S1.XMD10.m1ddec
    0 references
    Q11750
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C18.S1.XMD2.m1ndec
    0 references
     
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