DLMF:8.19.E7 (Q2693)

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DLMF:8.19.E7
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    Statements

    test
    E n ⁡ ( z ) = ( - z ) n - 1 ( n - 1 ) ! ⁢ E 1 ⁡ ( z ) + e - z ( n - 1 ) ! ⁢ ∑ k = 0 n - 2 ( n - k - 2 ) ! ⁢ ( - z ) k , exponential-integral-En 𝑛 𝑧 superscript 𝑧 𝑛 1 𝑛 1 exponential-integral 𝑧 superscript 𝑒 𝑧 𝑛 1 superscript subscript 𝑘 0 𝑛 2 𝑛 𝑘 2 superscript 𝑧 𝑘 {\displaystyle{\displaystyle E_{n}\left(z\right)=\frac{(-z)^{n-1}}{(n-1)!}E_{1% }\left(z\right)+\frac{e^{-z}}{(n-1)!}\sum_{k=0}^{n-2}(n-k-2)!(-z)^{k},}}
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    DLMF id
    DLMF:8.19.E7
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    constraint
    n = 2 , 3 , … 𝑛 2 3 … {\displaystyle{\displaystyle n=2,3,\dots}}
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