New Properties of the Zeros of Krall Polynomials

We identify a new class of algebraic relations satisfied by the zeros orthogonal polynomials that are eigenfunctions linear differential operators order higher than two, known as Krall polynomials. Given an polynomial family , we relate pN with pm for each m ≤ N (the case = corresponding to involve only). These identities obtained finding exact expressions similarity transformation relates spectral and (interpolatory) pseudospectral matrix representations operators, while using interpolation nodes. The proposed framework generalizes properties classical nonclassical families type. illustrate general result proving Krall-Legendre, Krall-Laguerre Krall-Jacobi