DLMF:35.4.E9 (Q9793)

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Language	Label	Description	Also known as
English	DLMF:35.4.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\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)}Z_{\kappa}\left(\mathbf{T}\mathbf{X}\right)\mathrm{d}\mathbf{X}=\frac{{% \left[a\right]_{\kappa}}}{{\left[a+b\right]_{\kappa}}}\mathrm{B}_{m}\left(a,b% \right)Z_{\kappa}\left(\mathbf{T}\right).}}

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DLMF:35.4.E9

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1acdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3acdec

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multivariate beta function

Defining formula

{\displaystyle{\displaystyle\mathrm{B}_{\NVar{m}}\left(\NVar{a},\NVar{b}\right% )}}

C35.S3.E3.m2adec

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partitional shifted factorial

Defining formula

{\displaystyle{\displaystyle{\left[\NVar{a}\right]_{\NVar{\kappa}}}}}

C35.S4.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle Z_{\NVar{\kappa}}\left(\NVar{\mathbf{T}}\right)}}

C35.S4.SS1.p3.m3agdec

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Defining formula

{\displaystyle{\displaystyle a}}

C35.S1.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle\mathbf{T}}}

C35.S1.XMD11.m1edec

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Defining formula

{\displaystyle{\displaystyle\mathbf{X}}}

C35.S1.XMD12.m1adec

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Defining formula

{\displaystyle{\displaystyle b}}

C35.S1.XMD2.m1dec

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Sitelinks

Wikipedia(0 entries)

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