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Formula:10481

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Digital Library of Mathematical Functions ID 35.4.E5

Z ΞΊ ⁑ ( 𝐇𝐓𝐇 - 1 ) = Z ΞΊ ⁑ ( 𝐓 ) , zonal-polynomial πœ… superscript 𝐇𝐓𝐇 1 zonal-polynomial πœ… 𝐓 {\displaystyle{\displaystyle Z_{\kappa}\left(\mathbf{H}\mathbf{T}\mathbf{H}^{-% 1}\right)=Z_{\kappa}\left(\mathbf{T}\right),}}


Constraint(s)

𝐇 ∈ 𝐎 ⁒ ( m ) 𝐇 𝐎 π‘š {\displaystyle{\displaystyle\mathbf{H}\in\mathbf{O}(m)}}

Symbols List

  • ∈ {\displaystyle{\displaystyle\in}} :
  • Z ΞΊ ⁑ ( 𝐓 ) zonal-polynomial πœ… 𝐓 {\displaystyle{\displaystyle Z_{\NVar{\kappa}}\left(\NVar{\mathbf{T}}\right)}} :
  • 𝐓 𝐓 {\displaystyle{\displaystyle\mathbf{T}}} : space of real symmetric matrices
  • 𝐎 ⁒ ( m ) 𝐎 π‘š {\displaystyle{\displaystyle\mathbf{O}(m)}} : real symmetric matrix
  • m π‘š {\displaystyle{\displaystyle m}} : positive integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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