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Formula:10491

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Digital Library of Mathematical Functions ID 35.5.E6

B Ξ½ ⁑ ( 𝐓 ) = | 𝐓 | - Ξ½ ⁒ B - Ξ½ ⁑ ( 𝐓 ) , Bessel-of-matrix-B 𝜈 𝐓 superscript 𝐓 𝜈 Bessel-of-matrix-B 𝜈 𝐓 {\displaystyle{\displaystyle B_{\nu}\left(\mathbf{T}\right)=|\mathbf{T}|^{-\nu% }B_{-\nu}\left(\mathbf{T}\right),}}


Constraint(s)

Ξ½ ∈ β„‚ 𝜈 {\displaystyle{\displaystyle\nu\in\mathbb{C}}}
Ξ½ ∈ β„‚ 𝜈 β„‚ {\displaystyle{\displaystyle\nu\in\mathbb{C}}}
𝐓 ∈ 𝛀 𝐓 𝛀 {\displaystyle{\displaystyle\mathbf{T}\in{\boldsymbol{\Omega}}}}

Symbols List

  • B Ξ½ ⁑ ( 𝐓 ) Bessel-of-matrix-B 𝜈 𝐓 {\displaystyle{\displaystyle B_{\NVar{\nu}}\left(\NVar{\mathbf{T}}\right)}} : Bessel function of matrix argument (second kind)
  • β„‚ {\displaystyle{\displaystyle\mathbb{C}}} :
  • ∈ {\displaystyle{\displaystyle\in}} :
  • 𝐓 𝐓 {\displaystyle{\displaystyle\mathbf{T}}} : space of real symmetric matrices
  • 𝛀 𝛀 {\displaystyle{\displaystyle{\boldsymbol{\Omega}}}} : real symmetric matrix
  •  Edit this on Wikidata

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