DLMF:8.19.E2 (Q2688)

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DLMF:8.19.E2
No description defined

    Statements

    test
    E p ⁡ ( z ) = z p - 1 ⁢ ∫ z ∞ e - t t p ⁢ d t . exponential-integral-En 𝑝 𝑧 superscript 𝑧 𝑝 1 superscript subscript 𝑧 superscript 𝑒 𝑡 superscript 𝑡 𝑝 𝑡 {\displaystyle{\displaystyle E_{p}\left(z\right)=z^{p-1}\int_{z}^{\infty}\frac% {e^{-t}}{t^{p}}\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:8.19.E2
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
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    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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    generalized exponential integral
    test
    E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}
    xml-id
    C8.S19.E1.m2aadec
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    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
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    Q11323
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1adec
    0 references
    Q11377
    test
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C8.S1.XMD4.m1adec
    0 references
     
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