On polynomial sequences associated to the classical linear functionals and to second order forms

On polynomial sequences associated to the classical linear functionals and to second order forms Description: Polynomial sequences generated by integral powers of first and second order differential operators with polynomial coefficients will be under discussion. More precisely, the focus will lie on their connection with well known orthogonal polynomial sequences along with their foremost structural properties. We will start by analysing the cases in which the aforementioned differential operator is of first order, bringing into analysis polynomial sequences associated to the classical linear functionals of Hermite, Laguerre, Bessel and Jacobi. Afterwards, the discussion will proceed towards the analysis of polynomial … Continue reading On polynomial sequences associated to the classical linear functionals and to second order forms