DLMF:35.5.E7 (Q9800): Difference between revisions

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‎Changed an Item: Add constraint
 
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Property / constraint
 

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{S},\mathbf{T}\in{\boldsymbol{\Omega}}}

\mathbf{S},\mathbf{T}\in{\boldsymbol{\Omega}}
Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{S},\mathbf{T}\in{\boldsymbol{\Omega}}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q12735 / rank
 
Normal rank
Property / Symbols used: Q12735 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselAmat{\NVar{\nu}}@{\NVar{\mathbf{T}}}}

\BesselAmat{\NVar{\nu}}@{\NVar{\mathbf{T}}}
Property / Symbols used: Q12735 / qualifier
 
xml-id: C35.S5.SS1.m1addec
Property / Symbols used
 
Property / Symbols used: Bessel function of matrix argument (second kind) / rank
 
Normal rank
Property / Symbols used: Bessel function of matrix argument (second kind) / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselBmat{\NVar{\nu}}@{\NVar{\mathbf{T}}}}

\BesselBmat{\NVar{\nu}}@{\NVar{\mathbf{T}}}
Property / Symbols used: Bessel function of matrix argument (second kind) / qualifier
 
xml-id: C35.S5.E3.m2abdec
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.m1acdec
Property / Symbols used
 
Property / Symbols used: Q10784 / rank
 
Normal rank
Property / Symbols used: Q10784 / qualifier
 
Defining formula:

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

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2afdec
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.m3acdec
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.m1abdec
Property / Symbols used
 
Property / Symbols used: Q12734 / rank
 
Normal rank
Property / Symbols used: Q12734 / qualifier
 
Defining formula:

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

\mathbf{S}
Property / Symbols used: Q12734 / qualifier
 
xml-id: C35.S1.XMD10.m1bdec
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.m1edec
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.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12720 / rank
 
Normal rank
Property / Symbols used: Q12720 / qualifier
 
Defining formula:

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

{\boldsymbol{\Omega}}
Property / Symbols used: Q12720 / qualifier
 
xml-id: C35.S1.XMD13.m1ddec
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.m1edec

Latest revision as of 14:53, 2 January 2020

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English
DLMF:35.5.E7
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{\boldsymbol{\Omega}}\BesselAmat{\nu_{1}}@{\mathbf{T}\mathbf{X}}\BesselBmat{-\nu_{2}}@{\mathbf{S}\mathbf{X}}|\mathbf{X}|^{\nu_{1}}\diff{\mathbf{X}}=\frac{1}{\BesselAmat{\nu_{1}+\nu_{2}}@{\boldsymbol{{0}}}}|\mathbf{S}|^{\nu_{2}}|\mathbf{T}+\mathbf{S}|^{-(\nu_{1}+\nu_{2}+\frac{1}{2}(m+1))},}
    0 references
    DLMF id
    DLMF:35.5.E7
    0 references
    constraint
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(\nu_{1}+\nu_{2})}>-1}
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Re(\nu_{1}+\nu_{2})>-1}
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{S},\mathbf{T}\in{\boldsymbol{\Omega}}}
    0 references
    Symbols used
    Q12735
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselAmat{\NVar{\nu}}@{\NVar{\mathbf{T}}}}
    xml-id
    C35.S5.SS1.m1addec
    0 references
    Bessel function of matrix argument (second kind)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselBmat{\NVar{\nu}}@{\NVar{\mathbf{T}}}}
    xml-id
    C35.S5.E3.m2abdec
    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.m1acdec
    0 references
    Q10784
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \in}
    xml-id
    introduction.Sx4.p1.t1.r10.m2afdec
    0 references
    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.m3acdec
    0 references
    Q10811
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@}
    xml-id
    C1.S9.E2.m1abdec
    0 references
    Q12734
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{S}}
    xml-id
    C35.S1.XMD10.m1bdec
    0 references
    Q12724
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{T}}
    xml-id
    C35.S1.XMD11.m1edec
    0 references
    Q12719
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{X}}
    xml-id
    C35.S1.XMD12.m1cdec
    0 references
    Q12720
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\boldsymbol{\Omega}}}
    xml-id
    C35.S1.XMD13.m1ddec
    0 references
    Q12723
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    xml-id
    C35.S1.XMD8.m1edec
    0 references
     
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