Generalized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix theory

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109976We obtain generalized Christoffel-Darboux (GCD) formula for skew-orthogonal polynomials (SOP). Using this, we present an alternative derivation of the level density and two-point function for Gaussian orthogonal ensembles (GOE) and Gaussian symplectic ensembles (GSE) of random matrices.8 pagesMathematical PhysicsGeneralized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix theorytext