Generalised Freud's equation and level densities with polynomial potential

Akshat Boobna, Saugata Ghosh

We study orthogonal polynomials with weight $\exp [-NV(x)]$, where $V(x)={\sum }_{k=1}^d{a}_{2k}{x}^{2k}/2k$ is a polynomial of order 2d. We derive the generalised Freud's equations for…