DLMF:8.21.E13 (Q2735): Difference between revisions

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

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2addec

Revision as of 14:17, 2 January 2020

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DLMF:8.21.E13
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    Statements

    Defining formula
    Ci ⁡ ( a , ∞ ) = Γ ⁡ ( a ) ⁢ cos ⁡ ( 1 2 ⁢ π ⁢ a ) , generalized-cosine-integral-Ci 𝑎 Euler-Gamma 𝑎 1 2 𝜋 𝑎 {\displaystyle{\displaystyle\mathrm{Ci}\left(a,\infty\right)=\Gamma\left(a% \right)\cos\left(\tfrac{1}{2}\pi a\right),}}
    0 references
    DLMF id
    DLMF:8.21.E13
    0 references
    constraint
    a ≠ 0 , - 2 , - 4 , … 𝑎 0 2 4 … {\displaystyle{\displaystyle a\neq 0,-2,-4,\dots}}
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    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2addec
    0 references
     
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