DLMF:11.7.E10 (Q4000): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
test:

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 13:50, 2 January 2020

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DLMF:11.7.E10
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    Statements

    test
    ∫ 0 ∞ t - ν - 1 ⁢ 𝐇 ν ⁡ ( t ) ⁢ d t = π 2 ν + 1 ⁢ Γ ⁡ ( ν + 1 ) , superscript subscript 0 superscript 𝑡 𝜈 1 Struve-H 𝜈 𝑡 𝑡 𝜋 superscript 2 𝜈 1 Euler-Gamma 𝜈 1 {\displaystyle{\displaystyle\int_{0}^{\infty}t^{-\nu-1}\mathbf{H}_{\nu}\left(t% \right)\mathrm{d}t=\frac{\pi}{2^{\nu+1}\Gamma\left(\nu+1\right)},}}
    0 references
    DLMF id
    DLMF:11.7.E10
    0 references
    constraint
    ℜ ⁡ ν > - 3 2 𝜈 3 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{3}{2}}}
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2addec
    0 references
     
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