DLMF:8.19.E12 (Q2698)

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DLMF:8.19.E12
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    Statements

    test
    p ⁢ E p + 1 ⁡ ( z ) + z ⁢ E p ⁡ ( z ) = e - z . 𝑝 exponential-integral-En 𝑝 1 𝑧 𝑧 exponential-integral-En 𝑝 𝑧 superscript 𝑒 𝑧 {\displaystyle{\displaystyle pE_{p+1}\left(z\right)+zE_{p}\left(z\right)=e^{-z% }.}}
    0 references
    DLMF id
    DLMF:8.19.E12
    0 references
    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2agdec
    0 references
    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.m2apdec
    0 references
    Q11323
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1jdec
    0 references
    Q11377
    test
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C8.S1.XMD4.m1hdec
    0 references
     
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