DLMF:6.14.E5 (Q2303): Difference between revisions

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

Ci ⁡ ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}

\cosint@{\NVar{z}}
Property / Symbols used: cosine integral / qualifier
 
xml-id: C6.S2.E11.m2aadec

Revision as of 01:34, 2 January 2020

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DLMF:6.14.E5
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    Statements

    test
    ∫ 0 ∞ cos ⁡ t ⁢ Ci ⁡ ( t ) ⁢ d t = ∫ 0 ∞ sin ⁡ t ⁢ si ⁡ ( t ) ⁢ d t = - 1 4 ⁢ π , superscript subscript 0 𝑡 cosine-integral 𝑡 𝑡 superscript subscript 0 𝑡 shifted-sine-integral 𝑡 𝑡 1 4 𝜋 {\displaystyle{\displaystyle\int_{0}^{\infty}\cos t\mathrm{Ci}\left(t\right)% \mathrm{d}t=\int_{0}^{\infty}\sin t\mathrm{si}\left(t\right)\mathrm{d}t=-% \tfrac{1}{4}\pi,}}
    0 references
    DLMF id
    DLMF:6.14.E5
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
    cosine integral
    test
    Ci ⁡ ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E11.m2aadec
    0 references
     
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