DLMF:8.19.E17 (Q2703)

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DLMF:8.19.E17
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    Statements

    test
    E p ⁡ ( z ) = e - z ⁢ ( 1 z + p 1 + 1 z + p + 1 1 + 2 z + ⋯ ) , exponential-integral-En 𝑝 𝑧 superscript 𝑒 𝑧 continued-fraction 1 𝑧 continued-fraction 𝑝 1 continued-fraction 1 𝑧 continued-fraction 𝑝 1 1 continued-fraction 2 𝑧 ⋯ {\displaystyle{\displaystyle E_{p}\left(z\right)=e^{-z}\left(\cfrac{1}{z+% \cfrac{p}{1+\cfrac{1}{z+\cfrac{p+1}{1+\cfrac{2}{z+\cdots}}}}}\right),}}
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    DLMF id
    DLMF:8.19.E17
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    constraint
    | ph ⁡ z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}
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