DLMF:8.21.E5 (Q2726)

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DLMF:8.21.E5
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    Statements

    Defining formula
    ci ⁡ ( a , z ) = ∫ z ∞ t a - 1 ⁢ cos ⁡ t ⁢ d t , generalized-cosine-integral-ci 𝑎 𝑧 superscript subscript 𝑧 superscript 𝑡 𝑎 1 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{ci}\left(a,z\right)=\int_{z}^{\infty}t^{a-% 1}\cos t\mathrm{d}t,}}
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    DLMF id
    DLMF:8.21.E5
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    constraint
    ℜ ⁡ a < 1 𝑎 1 {\displaystyle{\displaystyle\Re a<1}}
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    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1abdec
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    generalized cosine integral
    Defining formula
    ci ⁡ ( a , z ) generalized-cosine-integral-ci 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{ci}\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S21.E1.m2aadec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3abdec
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    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1abdec
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    Q11323
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1cdec
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