DLMF:35.3.E8 (Q9784): Difference between revisions

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Revision as of 14:49, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:35.3.E8	No description defined

Statements

Defining formula

{\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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{\displaystyle{\displaystyle\Re(a),\Re(b)>\frac{1}{2}(m-1)}}

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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.m2abdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1acdec

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Defining formula

{\displaystyle{\displaystyle a}}

C35.S1.XMD1.m1edec

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Defining formula

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

C35.S1.XMD12.m1cdec

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Defining formula

{\displaystyle{\displaystyle{\boldsymbol{\Omega}}}}

C35.S1.XMD13.m1bdec

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Defining formula

{\displaystyle{\displaystyle b}}

C35.S1.XMD2.m1bdec

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Sitelinks

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