DLMF:28.14.E6 (Q8319)

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DLMF:28.14.E6
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    Statements

    Defining formula
    c 2 ⁢ m ν ⁢ ( q ) c 2 ⁢ m ∓ 2 ν ⁢ ( q ) = - q 4 ⁢ m 2 ⁢ ( 1 + O ⁡ ( 1 m ) ) , subscript superscript 𝑐 𝜈 2 𝑚 𝑞 subscript superscript 𝑐 𝜈 minus-or-plus 2 𝑚 2 𝑞 𝑞 4 superscript 𝑚 2 1 Big-O 1 𝑚 {\displaystyle{\displaystyle\frac{c^{\nu}_{2m}(q)}{c^{\nu}_{2m\mp 2}(q)}=\frac% {-q}{4m^{2}}\left(1+O\left(\frac{1}{m}\right)\right),}}
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    DLMF id
    DLMF:28.14.E6
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    constraint
    m → ± ∞ → 𝑚 plus-or-minus {\displaystyle{\displaystyle m\to\pm\infty}}
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    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
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    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1edec
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