DLMF:6.8.E1 (Q2270): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: exponential integral / rank
 
Normal rank
Property / Symbols used: exponential integral / qualifier
 
Defining formula:

E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}

\expintE@{\NVar{z}}
Property / Symbols used: exponential integral / qualifier
 
xml-id: C6.S2.E1.m2adec

Revision as of 01:29, 2 January 2020

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DLMF:6.8.E1
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    Statements

    Defining formula
    1 2 ⁢ ln ⁡ ( 1 + 2 x ) < e x ⁢ E 1 ⁡ ( x ) < ln ⁡ ( 1 + 1 x ) , 1 2 1 2 𝑥 superscript 𝑒 𝑥 exponential-integral 𝑥 1 1 𝑥 {\displaystyle{\displaystyle\frac{1}{2}\ln\left(1+\frac{2}{x}\right)<e^{x}E_{1% }\left(x\right)<\ln\left(1+\frac{1}{x}\right),}}
    0 references
    DLMF id
    DLMF:6.8.E1
    0 references
    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    exponential integral
    Defining formula
    E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E1.m2adec
    0 references
     
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