DLMF:15.12.E11 (Q5171)

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DLMF:15.12.E11
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    Statements

    test
    β = ( - 3 2 ⁢ ζ + 9 4 ⁢ ln ⁡ ( 2 + e ζ 2 + e - ζ ) ) 1 / 3 , 𝛽 superscript 3 2 𝜁 9 4 2 superscript 𝑒 𝜁 2 superscript 𝑒 𝜁 1 3 {\displaystyle{\displaystyle\beta=\left(-\frac{3}{2}\zeta+\frac{9}{4}\ln\left(% \frac{2+e^{\zeta}}{2+e^{-\zeta}}\right)\right)^{1/3},}}
    0 references
    DLMF id
    DLMF:15.12.E11
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    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
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    principal branch of logarithm function
    test
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2abdec
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    Q11682
    test
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C15.S12.XMD5.m1ddec
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    Q11684
    test
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C15.S12.XMD6.m1adec
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