DLMF:6.6.E6 (Q2253)

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DLMF:6.6.E6
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    Statements

    test
    Ci ⁡ ( z ) = γ + ln ⁡ z + ∑ n = 1 ∞ ( - 1 ) n ⁢ z 2 ⁢ n ( 2 ⁢ n ) ! ⁢ ( 2 ⁢ n ) . cosine-integral 𝑧 𝑧 superscript subscript 𝑛 1 superscript 1 𝑛 superscript 𝑧 2 𝑛 2 𝑛 2 𝑛 {\displaystyle{\displaystyle\mathrm{Ci}\left(z\right)=\gamma+\ln z+\sum_{n=1}^% {\infty}\frac{(-1)^{n}z^{2n}}{(2n)!(2n)}.}}
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    DLMF id
    DLMF:6.6.E6
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    Symbols used
    Euler’s constant
    test
    γ {\displaystyle{\displaystyle\gamma}}
    xml-id
    C5.S2.E3.m2abdec
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    cosine integral
    test
    Ci ⁡ ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E11.m2adec
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    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aedec
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    principal branch of logarithm function
    test
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2acdec
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    Q11305
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1ddec
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    Q11308
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C6.S1.XMD3.m1edec
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