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arXiv · 1507.05571

Exact evaluations of some Meijer G-functions and probability of all eigenvalues real for product of two Gaussian matrices

Santosh Kumar
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Abstract

We provide a proof to a recent conjecture by Forrester [2014 J. Phys. A: Math. Theor. 47, 065202] regarding the algebraic and arithmetic structure of Meijer G-functions which appear in the expression for probability of all eigenvalues real for product of two real Gaussian matrices. In the process we come across several interesting identities involving Meijer G-functions.

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Santosh Kumar. 2015-07-20. Exact evaluations of some Meijer G-functions and probability of all eigenvalues real for product of two Gaussian matrices. https://doi.org/10.1088/1751-8113%2F48%2F44%2F445206

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