DLMF:6.2.E13 (Q2223)

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DLMF:6.2.E13
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    Statements

    Defining formula
    Ci ⁡ ( z ) = - Cin ⁡ ( z ) + ln ⁡ z + γ . cosine-integral 𝑧 cosine-integral-Cin 𝑧 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(z\right)=-\mathrm{Cin}\left(z% \right)+\ln z+\gamma.}}
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    DLMF id
    DLMF:6.2.E13
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    Symbols used
    Euler’s constant
    Defining formula
    γ {\displaystyle{\displaystyle\gamma}}
    xml-id
    C5.S2.E3.m2abdec
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    cosine integral
    Defining formula
    Ci ⁡ ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E11.m2aadec
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    cosine integral
    Defining formula
    Cin ⁡ ( z ) cosine-integral-Cin 𝑧 {\displaystyle{\displaystyle\mathrm{Cin}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E12.m2aadec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2acdec
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    Q11305
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1hdec
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