DLMF:35.6.E6 (Q9807): 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.m2addec

Revision as of 14:55, 2 January 2020

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DLMF:35.6.E6
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \multivarEulerBeta{m}@{b_{1}}{b_{2}}|\mathbf{T}|^{b_{1}+b_{2}-\frac{1}{2}(m+1)}\genhyperFmat{1}{1}@@{a_{1}+a_{2}}{b_{1}+b_{2}}{\mathbf{T}}=\int_{\boldsymbol{{0}}<\mathbf{X}<\mathbf{T}}|\mathbf{X}|^{b_{1}-\frac{1}{2}(m+1)}\genhyperFmat{1}{1}@@{a_{1}}{b_{1}}{\mathbf{X}}{|\mathbf{T}-\mathbf{X}|}^{b_{2}-\frac{1}{2}(m+1)}\genhyperFmat{1}{1}@@{a_{2}}{b_{2}}{\mathbf{T}-\mathbf{X}}\diff{\mathbf{X}},}
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    DLMF:35.6.E6
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(b_{1})},\realpart@@{(b_{2})}>\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.m2addec
    0 references