DLMF:18.27.E12 (Q5963)

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DLMF:18.27.E12
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    Statements

    test
    v x = ( q ⁢ x / c , - q ⁢ x / d ; q ) ∞ ( q α + 1 ⁢ x / c , - q β + 1 ⁢ x / d ; q ) ∞ , subscript 𝑣 𝑥 subscript 𝑞 𝑥 𝑐 𝑞 𝑥 𝑑 𝑞 subscript superscript 𝑞 𝛼 1 𝑥 𝑐 superscript 𝑞 𝛽 1 𝑥 𝑑 𝑞 {\displaystyle{\displaystyle v_{x}=\frac{(qx/c,-qx/d;q)_{\infty}}{(q^{\alpha+1% }x/c,-q^{\beta+1}x/d;q)_{\infty}},}}
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    DLMF id
    DLMF:18.27.E12
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    comment
    Warning: Falling back to standard tex;
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    constraint
    c , d > 0 𝑐 𝑑 0 {\displaystyle{\displaystyle c,d>0}}
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    Symbols used
    Q11728
    test
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C18.S1.XMD3.m1jdec
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    Q11727
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1hdec
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    DLMF:18.27.E2
    test
    v x subscript 𝑣 𝑥 {\displaystyle{\displaystyle v_{x}}}
    xml-id
    C18.S27.XMD6.m1bdec
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