DLMF:23.12.E4 (Q7326)

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DLMF:23.12.E4
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    Statements

    Defining formula
    η 1 = π 2 4 ⁢ ω 1 ⁢ ( 1 3 - 8 ⁢ q 2 + O ⁡ ( q 4 ) ) , subscript 𝜂 1 superscript 𝜋 2 4 subscript 𝜔 1 1 3 8 superscript 𝑞 2 Big-O superscript 𝑞 4 {\displaystyle{\displaystyle\eta_{1}=\frac{\pi^{2}}{4\omega_{1}}\left(\frac{1}% {3}-8q^{2}+O\left(q^{4}\right)\right),}}
    0 references
    DLMF id
    DLMF:23.12.E4
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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.m2acdec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
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    Q12066
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C23.S1.XMD10.m1cdec
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    Q12049
    Defining formula
    ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}}
    xml-id
    C23.S1.XMD8.m1cdec
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    Q12083
    Defining formula
    η j subscript 𝜂 𝑗 {\displaystyle{\displaystyle\eta_{j}}}
    xml-id
    C23.S12.XMD1.m1dec
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