DLMF:6.6.E5 (Q2252)

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DLMF:6.6.E5
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    Statements

    Defining formula
    Si ⁡ ( z ) = ∑ n = 0 ∞ ( - 1 ) n ⁢ z 2 ⁢ n + 1 ( 2 ⁢ n + 1 ) ! ⁢ ( 2 ⁢ n + 1 ) , sine-integral 𝑧 superscript subscript 𝑛 0 superscript 1 𝑛 superscript 𝑧 2 𝑛 1 2 𝑛 1 2 𝑛 1 {\displaystyle{\displaystyle\mathrm{Si}\left(z\right)=\sum_{n=0}^{\infty}\frac% {(-1)^{n}z^{2n+1}}{(2n+1)!(2n+1)},}}
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    DLMF id
    DLMF:6.6.E5
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    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5addec
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    sine integral
    Defining formula
    Si ⁡ ( z ) sine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E9.m2adec
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