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DLMF:8.19.E21 - MaRDI portal

DLMF:8.19.E21 (Q3405)

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DLMF:8.19.E21
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    Statements

    DLMF defining formula
    1 x + n < e x ⁢ E n ⁡ ( x ) ≤ 1 x + n - 1 , 1 𝑥 𝑛 superscript 𝑒 𝑥 exponential-integral-En 𝑛 𝑥 1 𝑥 𝑛 1 {\displaystyle{\displaystyle\frac{1}{x+n}<e^{x}E_{n}\left(x\right)\leq\frac{1}% {x+n-1},}}
    0 references
    Symbols used
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2amdec
    0 references
    generalized exponential integral
    DLMF defining formula
    E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}
    xml-id
    C8.S19.E1.m2aydec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S1.XMD1.m1gdec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C8.S1.XMD6.m1edec
    0 references

    Identifiers

     
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