DLMF:6.4.E3 (Q2236): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aadec

Revision as of 01:22, 2 January 2020

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DLMF:6.4.E3
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    Statements

    E 1 ( z e ± π i ) = Ein ( - z ) - ln z - γ π i , exponential-integral 𝑧 superscript 𝑒 plus-or-minus 𝜋 𝑖 minus-or-plus complementary-exponential-integral 𝑧 𝑧 𝜋 𝑖 {\displaystyle{\displaystyle E_{1}\left(ze^{\pm\pi i}\right)=\mathrm{Ein}\left% (-z\right)-\ln z-\gamma\mp\pi i,}}
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    DLMF:6.4.E3
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    | ph z | π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi}}
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    γ {\displaystyle{\displaystyle\gamma}}
    C5.S2.E3.m2aadec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aadec
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    Ein ( z ) complementary-exponential-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ein}\left(\NVar{z}\right)}}
    C6.S2.E3.m2aadec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aadec
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