DLMF:6.2.E10 (Q2220)

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DLMF:6.2.E10
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    Statements

    Defining formula
    si ⁡ ( z ) = - ∫ z ∞ sin ⁡ t t ⁢ d t = Si ⁡ ( z ) - 1 2 ⁢ π . shifted-sine-integral 𝑧 superscript subscript 𝑧 𝑡 𝑡 𝑡 sine-integral 𝑧 1 2 𝜋 {\displaystyle{\displaystyle\mathrm{si}\left(z\right)=-\int_{z}^{\infty}\frac{% \sin t}{t}\mathrm{d}t=\mathrm{Si}\left(z\right)-\tfrac{1}{2}\pi.}}
    0 references
    DLMF id
    DLMF:6.2.E10
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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.m2aadec
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