DLMF:35.2.E1 (Q9774)

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DLMF:35.2.E1
No description defined

    Statements

    Defining formula
    g ⁢ ( 𝐙 ) = ∫ 𝛀 etr ⁡ ( - 𝐙𝐗 ) ⁢ f ⁢ ( 𝐗 ) ⁢ d 𝐗 , 𝑔 𝐙 subscript 𝛀 exponential-trace 𝐙𝐗 𝑓 𝐗 𝐗 {\displaystyle{\displaystyle g(\mathbf{Z})=\int_{\boldsymbol{\Omega}}\mathrm{% etr}\left(-\mathbf{Z}\mathbf{X}\right)f(\mathbf{X})\mathrm{d}\mathbf{X},}}
    0 references
    DLMF id
    DLMF:35.2.E1
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q12718
    Defining formula
    etr ⁡ ( 𝐗 ) exponential-trace 𝐗 {\displaystyle{\displaystyle\mathrm{etr}\left(\NVar{\mathbf{X}}\right)}}
    xml-id
    C35.S1.p3.t1.r10.m3adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q12719
    Defining formula
    𝐗 𝐗 {\displaystyle{\displaystyle\mathbf{X}}}
    xml-id
    C35.S1.XMD12.m1dec
    0 references
    Q12720
    Defining formula
    𝛀 𝛀 {\displaystyle{\displaystyle{\boldsymbol{\Omega}}}}
    xml-id
    C35.S1.XMD13.m1dec
    0 references
    Q12721
    Defining formula
    f ⁢ ( 𝐗 ) 𝑓 𝐗 {\displaystyle{\displaystyle f(\mathbf{X})}}
    xml-id
    C35.S1.XMD15.m1dec
    0 references
    Q12722
    Defining formula
    g j subscript 𝑔 𝑗 {\displaystyle{\displaystyle g_{j}}}
    xml-id
    C35.S2.XMD1.m1dec
    0 references
     
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