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Formula:10482

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Digital Library of Mathematical Functions ID 35.4.E6

βˆ‘ | ΞΊ | = k Z ΞΊ ⁑ ( 𝐓 ) = ( tr ⁑ 𝐓 ) k . subscript πœ… π‘˜ zonal-polynomial πœ… 𝐓 superscript trace 𝐓 π‘˜ {\displaystyle{\displaystyle\sum_{|\kappa|=k}Z_{\kappa}\left(\mathbf{T}\right)% =(\operatorname{tr}{\mathbf{T}})^{k}.}}


Constraint(s)

Symbols List

  • tr ⁑ 𝐀 trace 𝐀 {\displaystyle{\displaystyle\operatorname{tr}\NVar{\mathbf{A}}}} :
  • 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
  • k π‘˜ {\displaystyle{\displaystyle k}} : nonnegative 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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