Formula:10466

Digital Library of Mathematical Functions ID 35.2.E1

${\displaystyle{\displaystyle g(\mathbf{Z})=\int_{\boldsymbol{\Omega}}\mathrm{etr}\left(-\mathbf{Z}\mathbf{X}\right)f(\mathbf{X})\mathrm{d}\mathbf{X},}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{etr}\left(\NVar{\mathbf{X}}\right)}}$:
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathbf{X}}}$: real symmetric matrix
• ${\displaystyle{\displaystyle{\boldsymbol{\Omega}}}}$: real symmetric matrix
• ${\displaystyle{\displaystyle f(\mathbf{X})}}$: real symmetric matrix
• ${\displaystyle{\displaystyle g_{j}}}$: Laplace transformation of f
 

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