Aufsatz in einer Fachzeitschrift
On factorization and solutions of q-difference equations satisfied by some classes of orthogonal polynomials



Details zur Publikation
Autor(inn)en:
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
Publikationsjahr:
2004
Zeitschrift:
Journal of Difference Equations and Applications
Seitenbereich:
729-747
Jahrgang/Band:
10
ISSN:
1023-6198

Zusammenfassung, 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.


Autor(inn)en / Herausgeber(innen)

Zuletzt aktualisiert 2019-01-11 um 16:05