DLMF:6.6.E1 (Q2248)

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DLMF:6.6.E1
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    Statements

    Defining formula
    Ei ⁡ ( x ) = γ + ln ⁡ x + ∑ n = 1 ∞ x n n ! ⁢ n , exponential-integral-Ei 𝑥 𝑥 superscript subscript 𝑛 1 superscript 𝑥 𝑛 𝑛 𝑛 {\displaystyle{\displaystyle\mathrm{Ei}\left(x\right)=\gamma+\ln x+\sum_{n=1}^% {\infty}\frac{x^{n}}{n!\thinspace n},}}
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    DLMF id
    DLMF:6.6.E1
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    constraint
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
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    Symbols used
    Euler’s constant
    Defining formula
    γ {\displaystyle{\displaystyle\gamma}}
    xml-id
    C5.S2.E3.m2adec
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    Q11306
    Defining formula
    Ei ⁡ ( x ) exponential-integral-Ei 𝑥 {\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}
    xml-id
    C6.S2.SS1.p3.m2adec
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