Construction of differential operators having Bochner–Krall orthogonal polynomials as eigenfunctions

Suppose {Qn}∞n=0 is a sequence of polynomials orthogonal with respect to the moment functional τ = σ + ν, where σ is a classical moment functional (Jacobi, Laguerre, Hermite) and ν is a point mass distribution with finite support. In this paper, we develop a new method for constructing a differential equation having {Qn}∞n=0 as eigenfunctions. © 2005 Elsevier Inc. All rights reserved