DLMF:6.5.E5 (Q2245): 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.m2addec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2addec
Property / Symbols used
 
Property / Symbols used: sine integral / rank
 
Normal rank
Property / Symbols used: sine integral / qualifier
 
test:

Si ( z ) sine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}}

\sinint@{\NVar{z}}
Property / Symbols used: sine integral / qualifier
 
xml-id: C6.S2.E9.m2aadec

Latest revision as of 01:24, 2 January 2020

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DLMF:6.5.E5
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    Statements

    Si ( z ) = 1 2 i ( E 1 ( - i z ) - E 1 ( i z ) ) + 1 2 π , sine-integral 𝑧 1 2 𝑖 exponential-integral 𝑖 𝑧 exponential-integral 𝑖 𝑧 1 2 𝜋 {\displaystyle{\displaystyle\mathrm{Si}\left(z\right)=\tfrac{1}{2}i(E_{1}\left% (-iz\right)-E_{1}\left(iz\right))+\tfrac{1}{2}\pi,}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
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    E 1 ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    C6.S2.E1.m2addec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2addec
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    Si ( z ) sine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}}
    C6.S2.E9.m2aadec
    0 references