DLMF:6.5.E5 (Q2245): Difference between revisions

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‎Changed an Item: Add constraint
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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.m2addec

Revision as of 01:24, 2 January 2020

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DLMF:6.5.E5
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    Statements

    Defining formula
    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,}}
    0 references
    DLMF id
    DLMF:6.5.E5
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
    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.m2addec
    0 references
     
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