A convergent $1/n$-expansion for GSE and GOE

Abstract

We generalize the results on the asymptotic expansion from Gaussian Unitary Ensembles case to all Gaussian Ensembles. We derive differential equations on densities and their moment generating functions for all Gaussian Ensembles. Also, we calculate explicit expressions for the moment generating functions for all Gaussian Ensembles.

References in corpus (1)

• A convergent $\frac{1}{N}$ expansion for GUE