DLMF:35.4.E7 (Q9791): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aadec

Revision as of 14:50, 2 January 2020

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DLMF:35.4.E7
No description defined

    Statements

    Defining formula
    ∫ 𝐎 ⁢ ( m ) Z κ ⁡ ( 𝐒𝐇𝐓𝐇 - 1 ) ⁢ d 𝐇 = Z κ ⁡ ( 𝐒 ) ⁢ Z κ ⁡ ( 𝐓 ) Z κ ⁡ ( 𝐈 ) . subscript 𝐎 𝑚 zonal-polynomial 𝜅 superscript 𝐒𝐇𝐓𝐇 1 𝐇 zonal-polynomial 𝜅 𝐒 zonal-polynomial 𝜅 𝐓 zonal-polynomial 𝜅 𝐈 {\displaystyle{\displaystyle\int_{\mathbf{O}(m)}Z_{\kappa}\left(\mathbf{S}% \mathbf{H}\mathbf{T}\mathbf{H}^{-1}\right)\mathrm{d}\mathbf{H}=\frac{Z_{\kappa% }\left(\mathbf{S}\right)Z_{\kappa}\left(\mathbf{T}\right)}{Z_{\kappa}\left(% \mathbf{I}\right)}.}}
    0 references
    DLMF id
    DLMF:35.4.E7
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
     
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