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DLMF:8.19.E22 - MaRDI portal

DLMF:8.19.E22 (Q3406)

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DLMF:8.19.E22
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    Statements

    DLMF defining formula
    d d x ⁡ E n ⁡ ( x ) E n - 1 ⁡ ( x ) > 0 . derivative 𝑥 exponential-integral-En 𝑛 𝑥 exponential-integral-En 𝑛 1 𝑥 0 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}\frac{E_{n}\left(x% \right)}{E_{n-1}\left(x\right)}>0.}}
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    DLMF defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2abdec
    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.m2azdec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S1.XMD1.m1hdec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C8.S1.XMD6.m1fdec
    0 references

    Identifiers

     
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