DLMF:35.8.E12 (Q9834): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| Property / Symbols used | |||
| Property / Symbols used: generalized hypergeometric function of matrix argument / rank | |||
Normal rank | |||
| Property / Symbols used: generalized hypergeometric function of matrix argument / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperFmat{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{\mathbf{T}}}}\genhyperFmat{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{\mathbf{T}}} | |||
| Property / Symbols used: generalized hypergeometric function of matrix argument / qualifier | |||
xml-id: C35.S8.E1.m2akdec | |||
Revision as of 14:01, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:35.8.E12 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\int_{\boldsymbol{\Omega}}\exptrace@{-\mathbf{T}\mathbf{X}}|\mathbf{X}|^{\gamma-\frac{1}{2}(m+1)}\*\genhyperFmat{p}{q}@@{a_{1},\dots,a_{p}}{b_{1},\dots,b_{q}}{-\mathbf{X}}\diff{\mathbf{X}}}=\multivarEulerGamma{m}@{\gamma}|\mathbf{T}|^{-\gamma}\genhyperFmat{p+1}{q}@@{a_{1},\dots,a_{p},\gamma}{b_{1},\dots,b_{q}}{-\mathbf{T}^{-1}},}
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DLMF:35.8.E12
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(\gamma)}>\frac{1}{2}(m-1)}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperFmat{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{\mathbf{T}}}}
C35.S8.E1.m2akdec
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