DLMF:35.6.E5 (Q9806)

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Language	Label	Description	Also known as
English	DLMF:35.6.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{\boldsymbol{\Omega}}\mathrm{etr}\left(-% \mathbf{T}\mathbf{X}\right)|\mathbf{X}|^{b-\frac{1}{2}(m+1)}{{}_{1}F_{1}}\left% ({a\atop b};\mathbf{S}\mathbf{X}\right)\mathrm{d}\mathbf{X}=\Gamma_{m}\left(b% \right)|\mathbf{I}-\mathbf{S}\mathbf{T}^{-1}|^{-a}|\mathbf{T}|^{-b},}}

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DLMF id

DLMF:35.6.E5

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constraint

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

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{\displaystyle{\displaystyle\mathbf{T}>\mathbf{S}}}

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

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Symbols used

generalized hypergeometric function of matrix argument

Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}

xml-id

C35.S8.E1.m2acdec

0 references

Q10770

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}

xml-id

C1.S4.SS4.m1abdec

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Q12718

Defining formula

{\displaystyle{\displaystyle\mathrm{etr}\left(\NVar{\mathbf{X}}\right)}}

xml-id

C35.S1.p3.t1.r10.m3abdec

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Q10771

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}

xml-id

C1.S4.SS4.m3abdec

0 references

Q12725

Defining formula

{\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}

xml-id

C35.S3.SS1.m1abdec

0 references

DLMF:35.6.E5 (Q9806)

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DLMF:35.6.E5 (Q9806)

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