DLMF:35.3.E8 (Q9784)

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DLMF:35.3.E8
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    B m ( a , b ) = 𝛀 | 𝐗 | a - 1 2 ( m + 1 ) | 𝐈 + 𝐗 | - ( a + b ) d 𝐗 , multivariate-Euler-Beta 𝑚 𝑎 𝑏 subscript 𝛀 superscript 𝐗 𝑎 1 2 𝑚 1 superscript 𝐈 𝐗 𝑎 𝑏 𝐗 {\displaystyle{\displaystyle\mathrm{B}_{m}\left(a,b\right)=\int_{\boldsymbol{% \Omega}}|\mathbf{X}|^{a-\frac{1}{2}(m+1)}|\mathbf{I}+\mathbf{X}|^{-(a+b)}% \mathrm{d}\mathbf{X},}}
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    DLMF:35.3.E8
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    ( a ) , ( b ) > 1 2 ( m - 1 ) 𝑎 𝑏 1 2 𝑚 1 {\displaystyle{\displaystyle\Re(a),\Re(b)>\frac{1}{2}(m-1)}}
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