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

Abstract

We 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 pages

Cited by in corpus (2)

• Generalized Christoffel-Darboux formula for classical skew-orthogonal polynomials
• Skew-orthogonal polynomials: the quartic case