DLMF:13.6.E6 (Q4393): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: generalized exponential integral / rank
 
Normal rank
Property / Symbols used: generalized exponential integral / qualifier
 
test:

E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}

\genexpintE{\NVar{p}}@{\NVar{z}}
Property / Symbols used: generalized exponential integral / qualifier
 
xml-id: C8.S19.E1.m2adec

Revision as of 14:51, 2 January 2020

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DLMF:13.6.E6
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    Statements

    test
    U ⁡ ( a , a , z ) = z 1 - a ⁢ U ⁡ ( 1 , 2 - a , z ) = z 1 - a ⁢ e z ⁢ E a ⁡ ( z ) = e z ⁢ Γ ⁡ ( 1 - a , z ) . Kummer-confluent-hypergeometric-U 𝑎 𝑎 𝑧 superscript 𝑧 1 𝑎 Kummer-confluent-hypergeometric-U 1 2 𝑎 𝑧 superscript 𝑧 1 𝑎 superscript 𝑒 𝑧 exponential-integral-En 𝑎 𝑧 superscript 𝑒 𝑧 incomplete-Gamma 1 𝑎 𝑧 {\displaystyle{\displaystyle U\left(a,a,z\right)=z^{1-a}U\left(1,2-a,z\right)=% z^{1-a}e^{z}E_{a}\left(z\right)=e^{z}\Gamma\left(1-a,z\right).}}
    0 references
    DLMF id
    DLMF:13.6.E6
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    test
    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.m2abdec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
    0 references
    generalized exponential integral
    test
    E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}
    xml-id
    C8.S19.E1.m2adec
    0 references
     
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