Even-power characteristic polynomial moments for Gaussian, Laguerre, and Jacobi beta ensembles are shown to have large-N expansions with explicit error bounds, a universal Barnes-G constant, and new formulas for weight parameters proportional to N.
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Moments of characteristic polynomials for classical $\beta$ ensembles
Even-power characteristic polynomial moments for Gaussian, Laguerre, and Jacobi beta ensembles are shown to have large-N expansions with explicit error bounds, a universal Barnes-G constant, and new formulas for weight parameters proportional to N.