DLMF:12.14.E19 (Q4259)

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DLMF:12.14.E19
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    Statements

    Defining formula
    ω = 1 4 ⁢ x 2 - a ⁢ ln ⁡ x + 1 4 ⁢ π + 1 2 ⁢ ϕ 2 , 𝜔 1 4 superscript 𝑥 2 𝑎 𝑥 1 4 𝜋 1 2 subscript italic-ϕ 2 {\displaystyle{\displaystyle\omega=\tfrac{1}{4}x^{2}-a\ln x+\tfrac{1}{4}\pi+% \tfrac{1}{2}\phi_{2},}}
    0 references
    DLMF id
    DLMF:12.14.E19
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aedec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
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    Q11520
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C12.S1.XMD1.m1odec
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    Q11516
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1odec
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