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

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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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
 
Defining formula:

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.m2adec
Property / Symbols used
 
Property / Symbols used: Q11307 / rank
 
Normal rank
Property / Symbols used: Q11307 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11307 / qualifier
 
xml-id: C6.S1.XMD1.m1dec

Latest revision as of 01:29, 2 January 2020

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DLMF:6.8.E1
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    Statements

    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:6.8.E1
    0 references
    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2adec
    0 references
    E 1 ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    C6.S2.E1.m2adec
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    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2adec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C6.S1.XMD1.m1dec
    0 references