DLMF:6.8.E3 (Q2272): Difference between revisions

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

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.m2abdec

Latest revision as of 01:30, 2 January 2020

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DLMF:6.8.E3
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    Statements

    test
    x ⁢ ( x + 3 ) x 2 + 4 ⁢ x + 2 < x ⁢ e x ⁢ E 1 ⁡ ( x ) < x 2 + 5 ⁢ x + 2 x 2 + 6 ⁢ x + 6 . 𝑥 𝑥 3 superscript 𝑥 2 4 𝑥 2 𝑥 superscript 𝑒 𝑥 exponential-integral 𝑥 superscript 𝑥 2 5 𝑥 2 superscript 𝑥 2 6 𝑥 6 {\displaystyle{\displaystyle\frac{x(x+3)}{x^{2}+4x+2}<xe^{x}E_{1}\left(x\right% )<\frac{x^{2}+5x+2}{x^{2}+6x+6}.}}
    0 references
    DLMF id
    DLMF:6.8.E3
    0 references
    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
    0 references
    exponential integral
    test
    E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E1.m2abdec
    0 references
     
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