DLMF:2.11.E24 (Q1049)

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DLMF:2.11.E24
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    Statements

    Defining formula
    e x ⁢ E 1 ⁡ ( x ) ∼ ∑ s = 0 ∞ ( - 1 ) s ⁢ s ! x s + 1 , asymptotic-expansion superscript 𝑒 𝑥 exponential-integral 𝑥 superscript subscript 𝑠 0 superscript 1 𝑠 𝑠 superscript 𝑥 𝑠 1 {\displaystyle{\displaystyle e^{x}E_{1}\left(x\right)\sim\sum_{s=0}^{\infty}(-% 1)^{s}\frac{s!}{x^{s+1}},}}
    0 references
    DLMF id
    DLMF:2.11.E24
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    constraint
    x → + ∞ → 𝑥 {\displaystyle{\displaystyle x\to+\infty}}
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    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11afdec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aqdec
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    exponential integral
    Defining formula
    E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E1.m2adec
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    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
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