DLMF:8.19.E26 (Q2712)

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DLMF:8.19.E26
No description defined

    Statements

    Defining formula
    ∫ 0 ∞ E p ⁡ ( t ) ⁢ E q ⁡ ( t ) ⁢ d t = L ⁢ ( p ) + L ⁢ ( q ) p + q - 1 , superscript subscript 0 exponential-integral-En 𝑝 𝑡 exponential-integral-En 𝑞 𝑡 𝑡 𝐿 𝑝 𝐿 𝑞 𝑝 𝑞 1 {\displaystyle{\displaystyle\int_{0}^{\infty}E_{p}\left(t\right)E_{q}\left(t% \right)\mathrm{d}t=\frac{L(p)+L(q)}{p+q-1},}}
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    DLMF id
    DLMF:8.19.E26
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    constraint
    p + q > 1 𝑝 𝑞 1 {\displaystyle{\displaystyle p+q>1}}
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    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1agdec
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    generalized exponential integral
    Defining formula
    E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}
    xml-id
    C8.S19.E1.m2aaddec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3agdec
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    Q11377
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C8.S1.XMD4.m1qdec
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    Q11379
    Defining formula
    L ⁢ ( p ) 𝐿 𝑝 {\displaystyle{\displaystyle L(p)}}
    xml-id
    C8.S19.XMD2.m1dec
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