Density and other spectral properties of Muttalib-Borodin ensembles and gamma-ensembles in Random Matrix Theory

A simple method to calculate density, two-point correlation function, and other statistical quantities of interest for a class of random matrix ensembles is presented. We reproduce some known results for well-studied random matrix ensembles with varying potentials and two-body interaction. New results for spectral properties of the Muttalib-Borodin ensemble and recently introduced gamma-ensemble were also obtained numerically for which no analytical method is available yet.