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Formula:10513

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Digital Library of Mathematical Functions ID 35.7.E10

F 1 2 ⁡ ( α ⁢ a , α ⁢ b α ⁢ c ; 𝐓 ) Gauss-hypergeometric-of-matrix-pFq 2 1 𝛼 𝑎 𝛼 𝑏 𝛼 𝑐 𝐓 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left({\alpha a,\alpha b\atop\alpha c% };\mathbf{T}\right)}}


Constraint(s)

Symbols List

  • F q p ⁡ ( a 1 , … , a p ; b 1 , … , b q ; 𝐓 ) Gauss-hypergeometric-of-matrix-pFq 𝑝 𝑞 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 𝐓 {\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}} : generalized hypergeometric function of matrix argument
  • a 𝑎 {\displaystyle{\displaystyle a}} : complex variable
  • 𝐓 𝐓 {\displaystyle{\displaystyle\mathbf{T}}} : space of real symmetric matrices
  • b 𝑏 {\displaystyle{\displaystyle b}} : complex variable
  • c 𝑐 {\displaystyle{\displaystyle c}} : complex variable
  • α → ∞ → 𝛼 {\displaystyle{\displaystyle\alpha\to\infty}} : parameter
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This page was last edited on 28 January 2024, at 10:02.
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