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DLMF:6.2.E4 - MaRDI portal

DLMF:6.2.E4 (Q2912)

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DLMF:6.2.E4
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    Statements

    DLMF defining formula
    E 1 ⁡ ( z ) = Ein ⁡ ( z ) - ln ⁡ z - γ . exponential-integral 𝑧 complementary-exponential-integral 𝑧 𝑧 {\displaystyle{\displaystyle E_{1}\left(z\right)=\mathrm{Ein}\left(z\right)-% \ln z-\gamma.}}
    0 references
    Symbols used
    Euler’s constant
    DLMF defining formula
    γ {\displaystyle{\displaystyle\gamma}}
    xml-id
    C5.S2.E3.m2adec
    0 references
    complementary exponential integral
    DLMF defining formula
    Ein ⁡ ( z ) complementary-exponential-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ein}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E3.m2aadec
    0 references
    exponential integral
    DLMF defining formula
    E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E1.m2abdec
    0 references
    principal branch of logarithm function
    DLMF defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1cdec
    0 references

    Identifiers

     
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