DLMF:35.3.E5 (Q9781): Difference between revisions

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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.m2aadec

Revision as of 14:48, 2 January 2020

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DLMF:35.3.E5
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    Γ m ( s 1 , , s m ) = π m ( m - 1 ) / 4 j = 1 m Γ ( s j - 1 2 ( j - 1 ) ) . multivariate-Euler-Gamma 𝑚 subscript 𝑠 1 subscript 𝑠 𝑚 superscript 𝜋 𝑚 𝑚 1 4 superscript subscript product 𝑗 1 𝑚 Euler-Gamma subscript 𝑠 𝑗 1 2 𝑗 1 {\displaystyle{\displaystyle\Gamma_{m}\left(s_{1},\dots,s_{m}\right)=\pi^{m(m-% 1)/4}\prod_{j=1}^{m}\Gamma\left(s_{j}-\tfrac{1}{2}(j-1)\right).}}
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    DLMF:35.3.E5
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2aadec
    0 references