DLMF:8.21.E5 (Q2726): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3abdec

Revision as of 14:15, 2 January 2020

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DLMF:8.21.E5
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    Statements

    Defining formula
    ci ⁡ ( a , z ) = ∫ z ∞ t a - 1 ⁢ cos ⁡ t ⁢ d t , generalized-cosine-integral-ci 𝑎 𝑧 superscript subscript 𝑧 superscript 𝑡 𝑎 1 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{ci}\left(a,z\right)=\int_{z}^{\infty}t^{a-% 1}\cos t\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:8.21.E5
    0 references
    constraint
    ℜ ⁡ a < 1 𝑎 1 {\displaystyle{\displaystyle\Re a<1}}
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1abdec
    0 references
    generalized cosine integral
    Defining formula
    ci ⁡ ( a , z ) generalized-cosine-integral-ci 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{ci}\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S21.E1.m2aadec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3abdec
    0 references
     
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