New Properties of the Zeros of Krall Polynomials
New Properties of the Zeros of Krall Polynomials
We identify a new class of algebraic relations satisfied by the zeros of orthogonal polynomials that are eigenfunctions of linear differential operators of order higher than two, known as Krall polynomials.Given an orthogonal polynomial family {p ν (x)} ∞ ν=0 , we relate the zeros of the polynomial p N …