Journal article
On factorization and solutions of q-difference equations satisfied by some classes of orthogonal polynomials
Publication Details
Authors: | Foupouagnigni, M.; Koepf, W.; Ronveaux, A. |
Publication year: | 2004 |
Journal: | Journal of Difference Equations and Applications |
Pages range : | 729-747 |
Volume number: | 10 |
ISSN: | 1023-6198 |
Abstract
We derive and factorize the fourth-order q -difference equations satisfied by orthogonal polynomials obtained from some perturbations of the recurrence coefficients of q -classical orthogonal polynomials. These perturbations include the r th associated, the anti-associated, the general co-recursive, co-recursive associated, co-dilated and the general co-modified q -classical orthogonal polynomials. Moreover we find a basis of four linearly independent solutions of these fourth-order q -difference equations and express the modified families in terms of the starting ones.
We derive and factorize the fourth-order q -difference equations satisfied by orthogonal polynomials obtained from some perturbations of the recurrence coefficients of q -classical orthogonal polynomials. These perturbations include the r th associated, the anti-associated, the general co-recursive, co-recursive associated, co-dilated and the general co-modified q -classical orthogonal polynomials. Moreover we find a basis of four linearly independent solutions of these fourth-order q -difference equations and express the modified families in terms of the starting ones.
Projects
