Deformation of the three-term recursion relation and the generation of new orthogonal polynomials

A. D. Alhaidari

Published 2002-04-07Version 1

We find solutions for a linear deformation of the symmetric three-term recursion relation. The orthogonal polynomials of the first and second kind associated with the deformed relation are obtained. The new density (weight) function is written in terms of the original one and the deformation parameters.