DLMF:35.3.E2 (Q9778)

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Language	Label	Description	Also known as
English	DLMF:35.3.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Gamma_{m}\left(s_{1},\dots,s_{m}\right)=\int_{% \boldsymbol{\Omega}}\mathrm{etr}\left(-\mathbf{X}\right)|\mathbf{X}|^{s_{m}-% \frac{1}{2}(m+1)}\prod_{j=1}^{m-1}|(\mathbf{X})_{j}|^{s_{j}-s_{j+1}}\mathrm{d}% \mathbf{X},}}

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DLMF:35.3.E2

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{\displaystyle{\displaystyle s_{j}\in\mathbb{C}}}

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{\displaystyle{\displaystyle\Re(s_{j})>\frac{1}{2}(j-1)}}

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{\displaystyle{\displaystyle s_{j}\in\mathbb{C}}}

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{\displaystyle{\displaystyle\Re(s_{j})>\frac{1}{2}(j-1)}}

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{\displaystyle{\displaystyle j=1,\dots,m}}

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Defining formula

{\displaystyle{\displaystyle\mathbb{C}}}

introduction.Sx4.p1.t1.r1.m2adec

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Defining formula

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

C1.S4.SS4.m1aadec

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