DLMF:6.11.E2 (Q2287)

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DLMF:6.11.E2
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    Statements

    Defining formula
    E 1 ⁡ ( z ) = e - z ⁢ U ⁡ ( 1 , 1 , z ) , exponential-integral 𝑧 superscript 𝑒 𝑧 Kummer-confluent-hypergeometric-U 1 1 𝑧 {\displaystyle{\displaystyle E_{1}\left(z\right)=e^{-z}U\left(1,1,z\right),}}
    0 references
    DLMF id
    DLMF:6.11.E2
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    Symbols used
    Kummer confluent hypergeometric function
    Defining formula
    U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E6.m2adec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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    exponential integral
    Defining formula
    E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E1.m2aadec
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    Q11305
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1adec
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