DLMF:32.11.E34 (Q9469)

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DLMF:32.11.E34
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    Statements

    Defining formula
    ϕ ⁢ ( x ) = 1 3 ⁢ 3 ⁢ x 2 - 4 3 ⁢ d 2 ⁢ 3 ⁢ ln ⁡ ( 2 ⁢ | x | ) , italic-ϕ 𝑥 1 3 3 superscript 𝑥 2 4 3 superscript 𝑑 2 3 2 𝑥 {\displaystyle{\displaystyle\phi(x)=\tfrac{1}{3}\sqrt{3}x^{2}-\tfrac{4}{3}d^{2% }\sqrt{3}\ln\left(\sqrt{2}|x|\right),}}
    0 references
    DLMF id
    DLMF:32.11.E34
    0 references
    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2amdec
    0 references
    Q12533
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C32.S1.XMD3.m1udec
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    Q12649
    Defining formula
    ϕ ⁢ ( z ) italic-ϕ 𝑧 {\displaystyle{\displaystyle\phi(z)}}
    xml-id
    C32.S11.XMD21.m1adec
    0 references
    Q12650
    Defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C32.S11.XMD22.m1adec
    0 references
     
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