DLMF:6.10.E6 (Q2283)

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DLMF:6.10.E6
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    Statements

    Defining formula
    Ei ⁡ ( x ) = γ + ln ⁡ | x | + ∑ n = 0 ∞ ( - 1 ) n ⁢ ( x - a n ) ⁢ ( 𝗂 n ( 1 ) ⁡ ( 1 2 ⁢ x ) ) 2 , exponential-integral-Ei 𝑥 𝑥 superscript subscript 𝑛 0 superscript 1 𝑛 𝑥 subscript 𝑎 𝑛 superscript spherical-Bessel-I-1 𝑛 1 2 𝑥 2 {\displaystyle{\displaystyle\mathrm{Ei}\left(x\right)=\gamma+\ln\left|x\right|% +\sum_{n=0}^{\infty}(-1)^{n}(x-a_{n})\left({\mathsf{i}^{(1)}_{n}}\left(\tfrac{% 1}{2}x\right)\right)^{2},}}
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    DLMF id
    DLMF:6.10.E6
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    constraint
    x ≠ 0 𝑥 0 {\displaystyle{\displaystyle x\neq 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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