A class of Truncated Freud polynomials

Juan Carlos García-Ardila, Francisco Marcellán, Misael E. Marriaga

Consider the following truncated Freud linear functional ${\mathbf{u}}_z$ depending on a parameter $z$, $$⟨{\mathbf{u}}_z,p⟩={\int }_0^{\infty }p(x)e^{-z{x}^4}dx,z>0.$$ The…