Properties of Generalized Freud Polynomials

Peter A Clarkson, Kerstin Jordaan

We consider the semi-classical generalized Freud weight function \[w_λ(x;t) = |x|^{2λ+1}\exp(-x^4 +tx^2),\qquad x\in\mathbb{R},\] with $\lambda >-1$ and $t\in \mathbb{R}$ parameters. We a…