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DLMF:8.19.E16 - MaRDI portal

DLMF:8.19.E16 (Q3400)

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DLMF:8.19.E16
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    Statements

    DLMF defining formula
    E p ⁡ ( z ) = z p - 1 ⁢ e - z ⁢ U ⁡ ( p , p , z ) . exponential-integral-En 𝑝 𝑧 superscript 𝑧 𝑝 1 superscript 𝑒 𝑧 Kummer-confluent-hypergeometric-U 𝑝 𝑝 𝑧 {\displaystyle{\displaystyle E_{p}\left(z\right)=z^{p-1}e^{-z}U\left(p,p,z% \right).}}
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    DLMF 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
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ajdec
    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.m2atdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1ndec
    0 references
    parameter
    DLMF defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C8.S1.XMD4.m1ldec
    0 references

    Identifiers

     
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