Orthogonal polynomials and differential equations in neutron-transport and radiative-transfer theories (Q1334762)

The paper is concerned with a set of polynomials orthogonal with respect to a weight function which is continuous in the interval \([-1,+1]\) and has a finite number of symmetric Dirac masses. The authors establish the second order differential equation satisfied by these polynomials in the case that they are of hypergeometric type (Jacobi, Laguerre, Hermite and Bessel). The exact expressions of the moments around the origin of the density of the zeros are given in the general case. The problem of obtaining the differential equations in the general case remains still open.