DLMF:35.5.E2 (Q9795): Difference between revisions

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‎Changed an Item: Add constraint
‎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{T}\in\boldsymbol{\mathcal{S}}}

\mathbf{T}\in\boldsymbol{\mathcal{S}}
Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{T}\in\boldsymbol{\mathcal{S}}} / 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.m1aadec
Property / Symbols used
 
Property / Symbols used: Q10923 / rank
 
Normal rank
Property / Symbols used: Q10923 / qualifier
 
Defining formula:

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

\Complexes
Property / Symbols used: Q10923 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r1.m2aadec
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.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

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

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec
Property / Symbols used
 
Property / Symbols used: partitional shifted factorial / rank
 
Normal rank
Property / Symbols used: partitional shifted factorial / qualifier
 
Defining formula:

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

\shiftfactorial{\NVar{a}}{\NVar{\kappa}}
Property / Symbols used: partitional shifted factorial / qualifier
 
xml-id: C35.S4.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q12730 / rank
 
Normal rank
Property / Symbols used: Q12730 / qualifier
 
Defining formula:

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

\zonalpolyZ{\NVar{\kappa}}@{\NVar{\mathbf{T}}}
Property / Symbols used: Q12730 / qualifier
 
xml-id: C35.S4.SS1.p3.m3adec
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.m1dec
Property / Symbols used
 
Property / Symbols used: Q12729 / rank
 
Normal rank
Property / Symbols used: Q12729 / qualifier
 
Defining formula:

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

k
Property / Symbols used: Q12729 / qualifier
 
xml-id: C35.S1.XMD5.m1dec
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.m1adec
Property / Symbols used
 
Property / Symbols used: Q12733 / rank
 
Normal rank
Property / Symbols used: Q12733 / qualifier
 
Defining formula:

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

\boldsymbol{\mathcal{S}}
Property / Symbols used: Q12733 / qualifier
 
xml-id: C35.S1.XMD9.m1dec

Latest revision as of 13:51, 2 January 2020

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DLMF:35.5.E2
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselAmat{\nu}@{\mathbf{T}}=\BesselAmat{\nu}@{\boldsymbol{{0}}}\sum_{k=0}^{\infty}\frac{(-1)^{k}}{k!}\sum_{|\kappa|=k}\frac{1}{\shiftfactorial{\nu+\frac{1}{2}(m+1)}{\kappa}}\zonalpolyZ{\kappa}@{\mathbf{T}},}
    0 references
    DLMF id
    DLMF:35.5.E2
    0 references
    constraint
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu\in\Complexes}
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu\in\mathbb{C}}
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{T}\in\boldsymbol{\mathcal{S}}}
    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.m1aadec
    0 references
    Q10923
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Complexes}
    xml-id
    introduction.Sx4.p1.t1.r1.m2aadec
    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.m2aadec
    0 references
    Q10755
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    partitional shifted factorial
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \shiftfactorial{\NVar{a}}{\NVar{\kappa}}}
    xml-id
    C35.S4.E1.m2adec
    0 references
    Q12730
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zonalpolyZ{\NVar{\kappa}}@{\NVar{\mathbf{T}}}}
    xml-id
    C35.S4.SS1.p3.m3adec
    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.m1dec
    0 references
    Q12729
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
    xml-id
    C35.S1.XMD5.m1dec
    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.m1adec
    0 references
    Q12733
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \boldsymbol{\mathcal{S}}}
    xml-id
    C35.S1.XMD9.m1dec
    0 references
     
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