DLMF:6.6.E2 (Q2249): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
test:

ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2aadec

Revision as of 01:25, 2 January 2020

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DLMF:6.6.E2
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    Statements

    test
    E 1 ⁡ ( z ) = - γ - ln ⁡ z - ∑ n = 1 ∞ ( - 1 ) n ⁢ z n n ! ⁢ n . exponential-integral 𝑧 𝑧 superscript subscript 𝑛 1 superscript 1 𝑛 superscript 𝑧 𝑛 𝑛 𝑛 {\displaystyle{\displaystyle E_{1}\left(z\right)=-\gamma-\ln z-\sum_{n=1}^{% \infty}\frac{(-1)^{n}z^{n}}{n!\thinspace n}.}}
    0 references
    DLMF id
    DLMF:6.6.E2
    0 references
    Symbols used
    Euler’s constant
    test
    γ {\displaystyle{\displaystyle\gamma}}
    xml-id
    C5.S2.E3.m2aadec
    0 references
    exponential integral
    test
    E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E1.m2adec
    0 references
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
    principal branch of logarithm function
    test
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aadec
    0 references
     
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