DLMF:6.12.E8 (Q2296)

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DLMF:6.12.E8
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    Statements

    Defining formula
    R n ( g ) ⁢ ( z ) = ( - 1 ) n ⁢ ∫ 0 ∞ e - z ⁢ t ⁢ t 2 ⁢ n + 1 t 2 + 1 ⁢ d t . superscript subscript 𝑅 𝑛 sine-cosine-integral-g 𝑧 superscript 1 𝑛 superscript subscript 0 superscript 𝑒 𝑧 𝑡 superscript 𝑡 2 𝑛 1 superscript 𝑡 2 1 𝑡 {\displaystyle{\displaystyle R_{n}^{(\mathrm{g})}(z)=(-1)^{n}\int_{0}^{\infty}% \frac{e^{-zt}t^{2n+1}}{t^{2}+1}\mathrm{d}t.}}
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    DLMF id
    DLMF:6.12.E8
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    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
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