DLMF:35.8.E13 (Q9835): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
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.m2aldec

Revision as of 15:02, 2 January 2020

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DLMF:35.8.E13
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\limits_{\boldsymbol{{0}}<\mathbf{X}<\mathbf{I}}|\mathbf{X}|^{a_{1}-\frac{1}{2}(m+1)}{|\mathbf{I}-\mathbf{X}|}^{b_{1}-a_{1}-\frac{1}{2}(m+1)}\*\genhyperFmat{p}{q}@@{a_{2},\dots,a_{p+1}}{b_{2},\dots,b_{q+1}}{\mathbf{T}\mathbf{X}}\diff{\mathbf{X}}=\frac{1}{\multivarEulerBeta{m}@{b_{1}-a_{1}}{a_{1}}}\genhyperFmat{p+1}{q+1}@@{a_{1},\dots,a_{p+1}}{b_{1},\dots,b_{q+1}}{\mathbf{T}},}
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    DLMF:35.8.E13
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(b_{1}-a_{1})},\realpart@@{(a_{1})}>\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.m2aldec
    0 references