DLMF:35.3.E3 (Q9779)

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DLMF:35.3.E3
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    Statements

    Defining formula
    B m ⁡ ( a , b ) = ∫ 𝟎 < 𝐗 < 𝐈 | 𝐗 | a - 1 2 ⁢ ( m + 1 ) ⁢ | 𝐈 - 𝐗 | b - 1 2 ⁢ ( m + 1 ) ⁢ d 𝐗 , multivariate-Euler-Beta 𝑚 𝑎 𝑏 subscript 0 𝐗 𝐈 superscript 𝐗 𝑎 1 2 𝑚 1 superscript 𝐈 𝐗 𝑏 1 2 𝑚 1 𝐗 {\displaystyle{\displaystyle{}\mathrm{B}_{m}\left(a,b\right)=\int\limits_{% \boldsymbol{{0}}<\mathbf{X}<\mathbf{I}}|\mathbf{X}|^{a-\frac{1}{2}(m+1)}|% \mathbf{I}-\mathbf{X}|^{b-\frac{1}{2}(m+1)}\mathrm{d}\mathbf{X},}}
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    DLMF id
    DLMF:35.3.E3
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