Perturbed recurrence relations (Q1410484)

The authors give some new relations between two families of polynomials defined by a three-term recurrence relation. They give a new method to study the behaviour of such polynomials. This method allows to solve the problem of losing information in the case of large perturbations since it gives the explicit representation of a perturbed family of polynomials in terms of the unperturbed family and of the perturbations.