DLMF:6.7.E12 (Q2265)

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DLMF:6.7.E12
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    Statements

    Defining formula
    g ⁡ ( z ) + i ⁢ f ⁡ ( z ) = e - i ⁢ z ⁢ ∫ z ∞ e i ⁢ t t ⁢ d t , sine-cosine-integral-g 𝑧 𝑖 sine-cosine-integral-f 𝑧 superscript 𝑒 𝑖 𝑧 superscript subscript 𝑧 superscript 𝑒 𝑖 𝑡 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{g}\left(z\right)+i\mathrm{f}\left(z\right)% =e^{-iz}\int_{z}^{\infty}\frac{e^{it}}{t}\mathrm{d}t,}}
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    DLMF id
    DLMF:6.7.E12
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    constraint
    | ph ⁡ z | ≤ π . phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi.}}
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