DLMF:35.8.E13 (Q9835): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(11 intermediate revisions by the same user not shown) | |||
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 | |||
Property / Symbols used | |||
Property / Symbols used: Q10770 / rank | |||
Normal rank | |||
Property / Symbols used: Q10770 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}\diff{\NVar{x}} | |||
Property / Symbols used: Q10770 / qualifier | |||
xml-id: C1.S4.SS4.m1aadec | |||
Property / Symbols used | |||
Property / Symbols used: Q10771 / rank | |||
Normal rank | |||
Property / Symbols used: Q10771 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}\int | |||
Property / Symbols used: Q10771 / qualifier | |||
xml-id: C1.S4.SS4.m3aadec | |||
Property / Symbols used | |||
Property / Symbols used: multivariate beta function / rank | |||
Normal rank | |||
Property / Symbols used: multivariate beta function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \multivarEulerBeta{\NVar{m}}@{\NVar{a}}{\NVar{b}}}\multivarEulerBeta{\NVar{m}}@{\NVar{a}}{\NVar{b}} | |||
Property / Symbols used: multivariate beta function / qualifier | |||
xml-id: C35.S3.E3.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: Q10811 / rank | |||
Normal rank | |||
Property / Symbols used: Q10811 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@}\realpart@@ | |||
Property / Symbols used: Q10811 / qualifier | |||
xml-id: C1.S9.E2.m1acdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12726 / rank | |||
Normal rank | |||
Property / Symbols used: Q12726 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}a | |||
Property / Symbols used: Q12726 / qualifier | |||
xml-id: C35.S1.XMD1.m1jdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12724 / rank | |||
Normal rank | |||
Property / Symbols used: Q12724 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{T}}\mathbf{T} | |||
Property / Symbols used: Q12724 / qualifier | |||
xml-id: C35.S1.XMD11.m1hdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12719 / rank | |||
Normal rank | |||
Property / Symbols used: Q12719 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{X}}\mathbf{X} | |||
Property / Symbols used: Q12719 / qualifier | |||
xml-id: C35.S1.XMD12.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: Q12728 / rank | |||
Normal rank | |||
Property / Symbols used: Q12728 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}b | |||
Property / Symbols used: Q12728 / qualifier | |||
xml-id: C35.S1.XMD2.m1jdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12739 / rank | |||
Normal rank | |||
Property / Symbols used: Q12739 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p}p | |||
Property / Symbols used: Q12739 / qualifier | |||
xml-id: C35.S1.XMD6.m1fdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12740 / rank | |||
Normal rank | |||
Property / Symbols used: Q12740 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}q | |||
Property / Symbols used: Q12740 / qualifier | |||
xml-id: C35.S1.XMD7.m1fdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12723 / rank | |||
Normal rank | |||
Property / Symbols used: Q12723 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q12723 / qualifier | |||
xml-id: C35.S1.XMD8.m1fdec |
Latest revision as of 15:02, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:35.8.E13 |
No description defined |
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}},}
0 references
DLMF:35.8.E13
0 references
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)}
0 references
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
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
C1.S4.SS4.m1aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \multivarEulerBeta{\NVar{m}}@{\NVar{a}}{\NVar{b}}}
C35.S3.E3.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@}
C1.S9.E2.m1acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
C35.S1.XMD1.m1jdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{T}}
C35.S1.XMD11.m1hdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{X}}
C35.S1.XMD12.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}
C35.S1.XMD2.m1jdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p}
C35.S1.XMD6.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
C35.S1.XMD7.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C35.S1.XMD8.m1fdec
0 references