Formula:10516

Digital Library of Mathematical Functions ID 35.8.E2

${\displaystyle{\displaystyle{{}_{0}F_{0}}\left({-\atop-};\mathbf{T}\right)=\mathrm{etr}\left(\mathbf{T}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\mathbf{T}\in\boldsymbol{\mathcal{S}}}}$

Symbols List

• ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}$: generalized hypergeometric function of matrix argument
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\mathrm{etr}\left(\NVar{\mathbf{X}}\right)}}$:
• ${\displaystyle{\displaystyle\mathbf{T}}}$: space of real symmetric matrices
• ${\displaystyle{\displaystyle\boldsymbol{\mathcal{S}}}}$: matrix of zeros
 

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