DLMF:6.5.E2 (Q2242): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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.m1adec

Latest revision as of 01:23, 2 January 2020

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DLMF:6.5.E2
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    Statements

    Ei ( x ) = - 1 2 ( E 1 ( - x + i 0 ) + E 1 ( - x - i 0 ) ) , exponential-integral-Ei 𝑥 1 2 exponential-integral 𝑥 𝑖 0 exponential-integral 𝑥 𝑖 0 {\displaystyle{\displaystyle\mathrm{Ei}\left(x\right)=-\tfrac{1}{2}(E_{1}\left% (-x+i0\right)+E_{1}\left(-x-i0\right)),}}
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    DLMF:6.5.E2
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    E 1 ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    C6.S2.E1.m2aadec
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    Ei ( x ) exponential-integral-Ei 𝑥 {\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}
    C6.S2.SS1.p3.m2aadec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aadec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C6.S1.XMD1.m1adec
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